Encoder, decoder, encoding method, and decoding method

ABSTRACT

An encoder includes circuitry and memory connected to the circuitry. In operation, the circuitry: corrects a base motion vector using a correction value for correcting the base motion vector in a predetermined direction; and encodes a current partition to be encoded in an image of a video, using the base motion vector corrected. The correction value is specified by a first parameter and a second parameter, the first parameter indicating a table to be selected from among a plurality of tables each including values, the second parameter indicating one of the values included in the table to be selected indicated by the first parameter. In each of the plurality of tables, a smaller value among the values is assigned a smaller index. Each of the plurality of tables includes a different minimum value among the values.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a U.S. continuation application of PCT InternationalPatent Application Number PCT/JP2019/035799 filed on Sep. 12, 2019,claiming the benefit of priority of U.S. Provisional Patent ApplicationNo. 62/733,859 filed on Sep. 20, 2018, the entire contents of which arehereby incorporated by reference.

BACKGROUND 1. Technical Field

The present disclosure relates to an encoder, a decoder, an encodingmethod, and a decoding method.

2. Description of the Related Art

Conventionally, there is H.265 as a standard for coding a video (see,H.265 ISO/IEC 23008-2 HEVC)/HEVC(High Efficiency Video Coding)). H.265is also referred to as high efficiency video coding (HEVC).

SUMMARY

An encoder according to one aspect of the present disclosure is anencoder that encodes a video, the encoder including: circuitry; andmemory connected to the circuitry. In operation, the circuitry: correctsa base motion vector using a correction value for correcting the basemotion vector in a predetermined direction; and encodes a currentpartition to be encoded in an image of the video, using the base motionvector corrected. The correction value is specified by a first parameterand a second parameter, the first parameter indicating a table to beselected from among a plurality of tables each including values, thesecond parameter indicating one of the values included in the table tobe selected indicated by the first parameter. In each of the pluralityof tables, a smaller value among the values is assigned a smaller index.Each of the plurality of tables includes a different minimum value amongthe values.

A decoder according to one aspect of the present disclosure is a decoderthat decodes a video, the decoder including: circuitry; and memoryconnected to the circuitry. In operation, the circuitry: corrects a basemotion vector using a correction value for correcting the base motionvector in a predetermined direction; and decodes a current partition tobe decoded in an image of the video, using the base motion vectorcorrected. The correction value is specified by a first parameter and asecond parameter, the first parameter indicating a table to be selectedfrom among a plurality of tables each including values, the secondparameter indicating one of the values included in the table to beselected indicated by the first parameter. In each of the plurality oftables, a smaller value among the values is assigned a smaller index.Each of the plurality of tables includes a different minimum value amongthe values.

It should be noted that these general or specific aspects may beimplemented by a system, a device, a method, an integrated circuit, acomputer program, or a non-transitory computer-readable recording mediumsuch as a compact disc read only memory (CD-ROM), or by any combinationof systems, devices, methods, integrated circuits, computer programs, orrecording media.

Additional benefits and advantages of the disclosed embodiments willbecome apparent from the specification and drawings. The benefits and/oradvantages may be individually obtained by the various embodiments andfeatures of the specification and drawings, not all of which need to beprovided in order to obtain one or more of such benefits and/oradvantages.

BRIEF DESCRIPTION OF DRAWINGS

These and other objects, advantages and features of the disclosure willbecome apparent from the following description thereof taken inconjunction with the accompanying drawings that illustrate a specificembodiment of the present disclosure.

FIG. 1 is a block diagram illustrating a functional configuration of anencoder according to an embodiment.

FIG. 2 is a flow chart indicating one example of an overall encodingprocess performed by the encoder.

FIG. 3 is a conceptual diagram illustrating one example of blocksplitting.

FIG. 4A is a conceptual diagram illustrating one example of a sliceconfiguration.

FIG. 4B is a conceptual diagram illustrating one example of a tileconfiguration.

FIG. 5A is a chart indicating transform basis functions for varioustransform types.

FIG. 5B is a conceptual diagram illustrating example spatially varyingtransforms (SVT).

FIG. 6A is a conceptual diagram illustrating one example of a filtershape used in an adaptive loop filter (ALF).

FIG. 6B is a conceptual diagram illustrating another example of a filtershape used in an ALF.

FIG. 6C is a conceptual diagram illustrating another example of a filtershape used in an ALF.

FIG. 7 is a block diagram indicating one example of a specificconfiguration of a loop filter which functions as a deblocking filter(DBF).

FIG. 8 is a conceptual diagram indicating an example of a deblockingfilter having a symmetrical filtering characteristic with respect to ablock boundary.

FIG. 9 is a conceptual diagram for illustrating a block boundary onwhich a deblocking filter process is performed.

FIG. 10 is a conceptual diagram indicating examples of Bs values.

FIG. 11 is a flow chart illustrating one example of a process performedby a prediction processor of the encoder.

FIG. 12 is a flow chart illustrating another example of a processperformed by the prediction processor of the encoder.

FIG. 13 is a flow chart illustrating another example of a processperformed by the prediction processor of the encoder.

FIG. 14 is a conceptual diagram illustrating sixty-seven intraprediction modes used in intra prediction in an embodiment.

FIG. 15 is a flow chart illustrating an example basic processing flow ofinter prediction.

FIG. 16 is a flow chart illustrating one example of derivation of motionvectors.

FIG. 17 is a flow chart illustrating another example of derivation ofmotion vectors.

FIG. 18 is a flow chart illustrating another example of derivation ofmotion vectors.

FIG. 19 is a flow chart illustrating an example of inter prediction innormal inter mode.

FIG. 20 is a flow chart illustrating an example of inter prediction inmerge mode.

FIG. 21 is a conceptual diagram for illustrating one example of a motionvector derivation process in merge mode.

FIG. 22 is a flow chart illustrating one example of frame rate upconversion (FRUC) process.

FIG. 23 is a conceptual diagram for illustrating one example of patternmatching (bilateral matching) between two blocks along a motiontrajectory.

FIG. 24 is a conceptual diagram for illustrating one example of patternmatching (template matching) between a template in a current picture anda block in a reference picture.

FIG. 25A is a conceptual diagram for illustrating one example ofderiving a motion vector of each sub-block based on motion vectors of aplurality of neighboring blocks.

FIG. 25B is a conceptual diagram for illustrating one example ofderiving a motion vector of each sub-block in affine mode in which threecontrol points are used.

FIG. 26A is a conceptual diagram for illustrating an affine merge mode.

FIG. 26B is a conceptual diagram for illustrating an affine merge modein which two control points are used.

FIG. 26C is a conceptual diagram for illustrating an affine merge modein which three control points are used.

FIG. 27 is a flow chart illustrating one example of a process in affinemerge mode.

FIG. 28A is a conceptual diagram for illustrating an affine inter modein which two control points are used.

FIG. 28B is a conceptual diagram for illustrating an affine inter modein which three control points are used.

FIG. 29 is a flow chart illustrating one example of a process in affineinter mode.

FIG. 30A is a conceptual diagram for illustrating an affine inter modein which a current block has three control points and a neighboringblock has two control points.

FIG. 30B is a conceptual diagram for illustrating an affine inter modein which a current block has two control points and a neighboring blockhas three control points.

FIG. 31A is a flow chart illustrating a merge mode process includingdecoder motion vector refinement (DMVR).

FIG. 31B is a conceptual diagram for illustrating one example of a DMVRprocess.

FIG. 32 is a flow chart illustrating one example of generation of aprediction image.

FIG. 33 is a flow chart illustrating another example of generation of aprediction image.

FIG. 34 is a flow chart illustrating another example of generation of aprediction image.

FIG. 35 is a flow chart illustrating one example of a prediction imagecorrection process performed by an overlapped block motion compensation(OBMC) process.

FIG. 36 is a conceptual diagram for illustrating one example of aprediction image correction process performed by an OBMC process.

FIG. 37 is a conceptual diagram for illustrating generation of twotriangular prediction images.

FIG. 38 is a conceptual diagram for illustrating a model assuminguniform linear motion.

FIG. 39 is a conceptual diagram for illustrating one example of aprediction image generation method using a luminance correction processperformed by a local illumination compensation (LIC) process.

FIG. 40 is a block diagram illustrating a mounting example of theencoder.

FIG. 41 is a block diagram illustrating a functional configuration of adecoder according to an embodiment.

FIG. 42 is a flow chart illustrating one example of an overall decodingprocess performed by the decoder.

FIG. 43 is a flow chart illustrating one example of a process performedby a prediction processor of the decoder.

FIG. 44 is a flow chart illustrating another example of a processperformed by the prediction processor of the decoder.

FIG. 45 is a flow chart illustrating an example of inter prediction innormal inter mode in the decoder.

FIG. 46 is a block diagram illustrating a mounting example of thedecoder.

FIG. 47 is a diagram illustrating a delta motion vector for use in aninter prediction process according to Embodiment 1.

FIG. 48 is a flow chart illustrating a motion vector selection processin the inter prediction process performed by an inter predictor of adecoder according to the first aspect of Embodiment 1.

FIG. 49 illustrates an example of list 1 including tables for use in themotion vector selection process according to the first aspect ofEmbodiment 1.

FIG. 50 illustrates an example of list 2 including tables for use in themotion vector selection process according to the first aspect ofEmbodiment 1.

FIG. 51 is a flow chart illustrating a motion vector selection processin an inter prediction process performed by an inter predictor of adecoder according to the second aspect of Embodiment 1.

FIG. 52 is a block diagram illustrating an implementation example of anencoder according to Embodiment 1.

FIG. 53 is a flow chart illustrating an example of operations performedby the encoder illustrated in FIG. 52.

FIG. 54 is a block diagram illustrating an implementation example of adecoder according to Embodiment 1.

FIG. 55 is a flow chart illustrating an example of operations performedby the decoder illustrated in FIG. 54.

FIG. 56 is a block diagram illustrating an overall configuration of acontent providing system for implementing a content distributionservice.

FIG. 57 is a conceptual diagram illustrating one example of an encodingstructure in scalable encoding.

FIG. 58 is a conceptual diagram illustrating one example of an encodingstructure in scalable encoding.

FIG. 59 is a conceptual diagram illustrating an example of a displayscreen of a web page.

FIG. 60 is a conceptual diagram illustrating an example of a displayscreen of a web page.

FIG. 61 is a block diagram illustrating one example of a smartphone.

FIG. 62 is a block diagram illustrating an example of a configuration ofa smartphone.

DETAILED DESCRIPTION OF THE EMBODIMENTS

For example, an encoder according to one aspect of the presentdisclosure is an encoder that encodes a video, the encoder including:circuitry; and memory connected to the circuitry. In operation, thecircuitry: corrects a base motion vector using a correction value forcorrecting the base motion vector in a predetermined direction; andencodes a current partition to be encoded in an image of the video,using the base motion vector corrected. The correction value isspecified by a first parameter and a second parameter, the firstparameter indicating a table to be selected from among a plurality oftables each including values, the second parameter indicating one of thevalues included in the table to be selected indicated by the firstparameter. In each of the plurality of tables, a smaller value among thevalues is assigned a smaller index. Each of the plurality of tablesincludes a different minimum value among the values.

With this, when a base motion vector is corrected to a more accuratemotion vector, and the more accurate motion vector is used , the basemotion vector can be corrected to the more accurate motion vector usinga correction value specified by an index having a smaller value (lessinformation) in a first table to be selected from among tables.Accordingly, the encoder has the possibility of improving the codingperformance of the inter prediction process.

Here, for example, the plurality of tables include a first tableincluding the values that include a sub-pixel value, and a second tableincluding the values that include only an integer-pixel value.

With this, the encoder has the possibility of further reducing theamount of processing in the inter prediction process.

Moreover, for example, a candidate value in the first table includes aquarter-pixel value.

Moreover, for example, the circuitry obtains a slice header of a currentslice including the current partition, and parses the first parameterwritten in the slice header to obtain the correction value.

Moreover, for example, the first parameter indicates the table to beselected from among the plurality of tables using a motion vector in anencoded frame.

Moreover, for example, the first parameter indicates the table to beselected from among the plurality of tables using a motion vectordifference in an encoded frame.

Moreover, for example, the circuitry selects a first table from amongthe plurality of tables using a resolution of a picture including thecurrent partition.

Moreover, for example, the first parameter indicates the table to beselected from among the plurality of tables using a temporal ID of apicture including the current partition.

Moreover, for example, in the first parameter indicates the table to beselected from among the plurality of tables using a distance between acurrent picture including the current partition and a reference picture.

Moreover, for example, the first parameter indicates the table to beselected from among the plurality of tables using a value of a motionvector predictor in the current partition.

For example, a decoder according to one aspect of the present disclosureis a decoder that decodes a video, the decoder including: circuitry; andmemory connected to the circuitry. In operation, the circuitry: correctsa base motion vector using a correction value for correcting the basemotion vector in a predetermined direction; and decodes a currentpartition to be decoded in an image of the video, using the base motionvector corrected. The correction value is specified by a first parameterand a second parameter, the first parameter indicating a table to beselected from among a plurality of tables each including values, thesecond parameter indicating one of the values included in the table tobe selected indicated by the first parameter. In each of the pluralityof tables, a smaller value among the values is assigned a smaller index.Each of the plurality of tables includes a different minimum value amongthe values.

With this, when a base motion vector is corrected to a more accuratemotion vector, and the more accurate motion vector is used, the basemotion vector can be corrected to the more accurate motion vector usinga correction value specified by an index having a smaller value (lessinformation) in a first table to be selected from among tables.Accordingly, the decoder has the possibility of improving the codingperformance of the inter prediction process.

Here, for example, the plurality of tables include a first tableincluding the values that include a sub-pixel value, and a second tableincluding the values that include only an integer-pixel value.

With this, the decoder has the possibility of further reducing theamount of processing in the inter prediction process.

Moreover, for example, a candidate value in the first table includes aquarter-pixel value.

Moreover, for example, the circuitry obtains a slice header of a currentslice including the current partition, and parses the first parameterwritten in the slice header to obtain the correction value.

For example, an encoding method according to one aspect of the presentdisclosure is an encoding method of encoding a video, the encodingmethod including: correcting a base motion vector using a correctionvalue for correcting the base motion vector in a predetermineddirection; and encoding a current partition to be encoded in an image ofthe video, using the base motion vector corrected. The correction valueis specified by a first parameter and a second parameter, the firstparameter indicating a table to be selected from among a plurality oftables each including values, the second parameter indicating one of thevalues included in the table to be selected indicated by the firstparameter. In each of the plurality of tables, a smaller value among thevalues is assigned a smaller index. Each of the plurality of tablesincludes a different minimum value among the values.

With this, when a base motion vector is corrected to a more accuratemotion vector, and the more accurate motion vector is used, the basemotion vector can be corrected to the more accurate motion vector usinga correction value specified by an index having a smaller value (lessinformation) in a first table to be selected from among tables.Accordingly, the encoding method has the possibility of improving thecoding performance of the inter prediction process.

For example, a decoding method according to one aspect of the presentdisclosure is a decoding method of decoding a video, the encoding methodincluding: correcting a base motion vector using a correction value forcorrecting the base motion vector in a predetermined direction; anddecoding a current partition to be decoded in an image of the video,using the base motion vector corrected. The correction value isspecified by a first parameter and a second parameter, the firstparameter indicating a table to be selected from among a plurality oftables each including values, the second parameter indicating one of thevalues included in the table to be selected indicated by the firstparameter. In each of the plurality of tables, a smaller value among thevalues is assigned a smaller index. Each of the plurality of tablesincludes a different minimum value among the values.

With this, when a base motion vector is corrected to a more accuratemotion vector, and the more accurate motion vector is used, the basemotion vector can be corrected to the more accurate motion vector usinga correction value specified by an index having a smaller value (lessinformation) in a first table to be selected from among tables.Accordingly, the decoding method has the possibility of improving thecoding performance of the inter prediction process.

Furthermore, these general or specific aspects may be implemented by asystem, a device, a method, an integrated circuit, a computer program,or a non-transitory computer-readable recording medium such as a compactdisc read only memory (CD-ROM), or by any combination of systems,devices, methods, integrated circuits, computer programs, or recordingmedia.

Hereinafter, embodiments will be described with reference to thedrawings.

Note that the embodiments described below each show a general orspecific example. The numerical values, shapes, materials, components,the arrangement and connection of the components, steps, the relationand order of the steps, etc., indicated in the following embodiments aremere examples, and are not intended to limit the scope of the claims.

Embodiments of an encoder and a decoder will be described below. Theembodiments are examples of an encoder and a decoder to which theprocesses and/or configurations presented in the description of aspectsof the present disclosure are applicable. The processes and/orconfigurations can also be implemented in an encoder and a decoderdifferent from those according to the embodiments. For example,regarding the processes and/or configurations as applied to theembodiments, any of the following may be implemented:

(1) Any of the components of the encoder or the decoder according to theembodiments presented in the description of aspects of the presentdisclosure may be substituted or combined with another componentpresented anywhere in the description of aspects of the presentdisclosure.

(2) In the encoder or the decoder according to the embodiments,discretionary changes may be made to functions or processes performed byone or more components of the encoder or the decoder, such as addition,substitution, removal, etc., of the functions or processes. For example,any function or process may be substituted or combined with anotherfunction or process presented anywhere in the description of aspects ofthe present disclosure.

(3) In methods implemented by the encoder or the decoder according tothe embodiments, discretionary changes may be made such as addition,substitution, and removal of one or more of the processes included inthe method. For example, any process in the method may be substituted orcombined with another process presented anywhere in the description ofaspects of the present disclosure.

(4) One or more components included in the encoder or the decoderaccording to embodiments may be combined with a component presentedanywhere in the description of aspects of the present disclosure, may becombined with a component including one or more functions presentedanywhere in the description of aspects of the present disclosure, andmay be combined with a component that implements one or more processesimplemented by a component presented in the description of aspects ofthe present disclosure.

(5) A component including one or more functions of the encoder or thedecoder according to the embodiments, or a component that implements oneor more processes of the encoder or the decoder according to theembodiments, may be combined or substituted with a component presentedanywhere in the description of aspects of the present disclosure, with acomponent including one or more functions presented anywhere in thedescription of aspects of the present disclosure, or with a componentthat implements one or more processes presented anywhere in thedescription of aspects of the present disclosure.

(6) In methods implemented by the encoder or the decoder according tothe embodiments, any of the processes included in the method may besubstituted or combined with a process presented anywhere in thedescription of aspects of the present disclosure or with anycorresponding or equivalent process.

(7) One or more processes included in methods implemented by the encoderor the decoder according to the embodiments may be combined with aprocess presented anywhere in the description of aspects of the presentdisclosure.

(8) The implementation of the processes and/or configurations presentedin the description of aspects of the present disclosure is not limitedto the encoder or the decoder according to the embodiments. For example,the processes and/or configurations may be implemented in a device usedfor a purpose different from the moving picture encoder or the movingpicture decoder disclosed in the embodiments.

Embodiment 1

[Encoder]

First, an encoder according to an embodiment will be described. FIG. 1is a block diagram illustrating a functional configuration of encoder100 according to the embodiment. Encoder 100 is a video encoder whichencodes a video in units of a block.

As illustrated in FIG. 1, encoder 100 is an apparatus which encodes animage in units of a block, and includes splitter 102, subtractor 104,transformer 106, quantizer 108, entropy encoder 110, inverse quantizer112, inverse transformer 114, adder 116, block memory 118, loop filter120, frame memory 122, intra predictor 124, inter predictor 126, andprediction controller 128.

Encoder 100 is implemented as, for example, a generic processor andmemory. In this case, when a software program stored in the memory isexecuted by the processor, the processor functions as splitter 102,subtractor 104, transformer 106, quantizer 108, entropy encoder 110,inverse quantizer 112, inverse transformer 114, adder 116, loop filter120, intra predictor 124, inter predictor 126, and prediction controller128. Alternatively, encoder 100 may be implemented as one or morededicated electronic circuits corresponding to splitter 102, subtractor104, transformer 106, quantizer 108, entropy encoder 110, inversequantizer 112, inverse transformer 114, adder 116, loop filter 120,intra predictor 124, inter predictor 126, and prediction controller 128.

Hereinafter, an overall flow of processes performed by encoder 100 isdescribed, and then each of constituent elements included in encoder 100will be described.

[Overall Flow of Encoding Process]

FIG. 2 is a flow chart indicating one example of an overall encodingprocess performed by encoder 100.

First, splitter 102 of encoder 100 splits each of pictures included inan input image which is a video into a plurality of blocks having afixed size (e.g., 128×128 pixels) (Step Sa_1). Splitter 102 then selectsa splitting pattern for the fixed-size block (also referred to as ablock shape) (Step Sa_2). In other words, splitter 102 further splitsthe fixed-size block into a plurality of blocks which form the selectedsplitting pattern. Encoder 100 performs, for each of the plurality ofblocks, Steps Sa_3 to Sa_9 for the block (that is a current block to beencoded).

In other words, a prediction processor which includes all or part ofintra predictor 124, inter predictor 126, and prediction controller 128generates a prediction signal (also referred to as a prediction block)of the current block to be encoded (also referred to as a current block)(Step Sa_3).

Next, subtractor 104 generates a difference between the current blockand a prediction block as a prediction residual (also referred to as adifference block) (Step Sa_4).

Next, transformer 106 transforms the difference block and quantizer 108quantizes the result, to generate a plurality of quantized coefficients(Step Sa_5). It is to be noted that the block having the plurality ofquantized coefficients is also referred to as a coefficient block.

Next, entropy encoder 110 encodes (specifically, entropy encodes) thecoefficient block and a prediction parameter related to generation of aprediction signal to generate an encoded signal (Step Sa_6). It is to benoted that the encoded signal is also referred to as an encodedbitstream, a compressed bitstream, or a stream.

Next, inverse quantizer 112 performs inverse quantization of thecoefficient block and inverse transformer 114 performs inverse transformof the result, to restore a plurality of prediction residuals (that is,a difference block) (Step Sa_7).

Next, adder 116 adds the prediction block to the restored differenceblock to reconstruct the current block as a reconstructed image (alsoreferred to as a reconstructed block or a decoded image block) (StepSa_8). In this way, the reconstructed image is generated.

When the reconstructed image is generated, loop filter 120 performsfiltering of the reconstructed image as necessary (Step Sa_9).

Encoder 100 then determines whether encoding of the entire picture hasbeen finished (Step Sa_10). When determining that the encoding has notyet been finished (No in Step Sa_10), processes from Step Sa_2 areexecuted repeatedly.

Although encoder 100 selects one splitting pattern for a fixed-sizeblock, and encodes each block according to the splitting pattern in theabove-described example, it is to be noted that each block may beencoded according to a corresponding one of a plurality of splittingpatterns. In this case, encoder 100 may evaluate a cost for each of theplurality of splitting patterns, and, for example, may select theencoded signal obtainable by encoding according to the splitting patternwhich yields the smallest cost as an encoded signal which is output.

As illustrated, the processes in Steps Sa_1 to Sa_10 are performedsequentially by encoder 100. Alternatively, two or more of the processesmay be performed in parallel, the processes may be reordered, etc.

[Splitter]

Splitter 102 splits each of pictures included in an input video into aplurality of blocks, and outputs each block to subtractor 104. Forexample, splitter 102 first splits a picture into blocks of a fixed size(for example, 128×128). Other fixed block sizes may be employed. Thefixed-size block is also referred to as a coding tree unit (CTU).Splitter 102 then splits each fixed-size block into blocks of variablesizes (for example, 64×64 or smaller), based on recursive quadtreeand/or binary tree block splitting. In other words, splitter 102 selectsa splitting pattern. The variable-size block is also referred to as acoding unit (CU), a prediction unit (PU), or a transform unit (TU). Itis to be noted that, in various kinds of processing examples, there isno need to differentiate between CU, PU, and TU; all or some of theblocks in a picture may be processed in units of a CU, a PU, or a TU.

FIG. 3 is a conceptual diagram illustrating one example of blocksplitting according to an embodiment. In FIG. 3, the solid linesrepresent block boundaries of blocks split by quadtree block splitting,and the dashed lines represent block boundaries of blocks split bybinary tree block splitting.

Here, block 10 is a square block having 128×128 pixels (128×128 block).This 128×128 block 10 is first split into four square 64×64 blocks(quadtree block splitting).

The upper-left 64×64 block is further vertically split into tworectangular 32×64 blocks, and the left 32×64 block is further verticallysplit into two rectangular 16×64 blocks (binary tree block splitting).As a result, the upper-left 64×64 block is split into two 16×64 blocks11 and 12 and one 32×64 block 13.

The upper-right 64×64 block is horizontally split into two rectangular64×32 blocks 14 and 15 (binary tree block splitting).

The lower-left 64×64 block is first split into four square 32×32 blocks(quadtree block splitting). The upper-left block and the lower-rightblock among the four 32×32 blocks are further split. The upper-left32×32 block is vertically split into two rectangle 16×32 blocks, and theright 16×32 block is further horizontally split into two 16×16 blocks(binary tree block splitting). The lower-right 32×32 block ishorizontally split into two 32×16 blocks (binary tree block splitting).As a result, the lower-left 64×64 block is split into 16×32 block 16,two 16×16 blocks 17 and 18, two 32×32 blocks 19 and 20, and two 32×16blocks 21 and 22.

The lower-right 64×64 block 23 is not split.

As described above, in FIG. 3, block 10 is split into thirteenvariable-size blocks 11 through 23 based on recursive quadtree andbinary tree block splitting. This type of splitting is also referred toas quadtree plus binary tree (QTBT) splitting.

It is to be noted that, in FIG. 3, one block is split into four or twoblocks (quadtree or binary tree block splitting), but splitting is notlimited to these examples. For example, one block may be split intothree blocks (ternary block splitting). Splitting including such ternaryblock splitting is also referred to as multi-type tree (MBT) splitting.

[Picture Structure: Slice/Tile]

A picture may be configured in units of one or more slices or tiles inorder to decode the picture in parallel. The picture configured in unitsof one or more slices or tiles may be configured by splitter 102.

Slices are basic encoding units included in a picture. A picture mayinclude, for example, one or more slices. In addition, a slice includesone or more successive coding tree units (CTU).

FIG. 4A is a conceptual diagram illustrating one example of a sliceconfiguration. For example, a picture includes 11×8 CTUs and is splitinto four slices (slices 1 to 4). Slice 1 includes sixteen CTUs, slice 2includes twenty-one CTUs, slice 3 includes twenty-nine CTUs, and slice 4includes twenty-two CTUs. Here, each CTU in the picture belongs to oneof the slices. The shape of each slice is a shape obtainable bysplitting the picture horizontally. A boundary of each slice does notneed to be coincide with an image end, and may be coincide with any ofthe boundaries between CTUs in the image. The processing order of theCTUs in a slice (an encoding order or a decoding order) is, for example,a raster-scan order. A slice includes header information and encodeddata. Features of the slice may be described in header information. Thefeatures include a CTU address of a top CTU in the slice, a slice type,etc.

A tile is a unit of a rectangular region included in a picture. Each oftiles may be assigned with a number referred to as TileId in raster-scanorder.

FIG. 4B is a conceptual diagram indicating an example of a tileconfiguration. For example, a picture includes 11×8 CTUs and is splitinto four tiles of rectangular regions (tiles 1 to 4). When tiles areused, the processing order of CTUs are changed from the processing orderin the case where no tile is used. When no tile is used, CTUs in apicture are processed in raster-scan order. When tiles are used, atleast one CTU in each of the tiles is processed in raster-scan order.For example, as illustrated in FIG. 4B, the processing order of the CTUsincluded in tile 1 is the order which starts from the left-end of thefirst row of tile 1 toward the right-end of the first row of tile 1 andthen starts from the left-end of the second row of tile 1 toward theright-end of the second row of tile 1.

It is to be noted that the one tile may include one or more slices, andone slice may include one or more tiles.

[Subtractor]

Subtractor 104 subtracts a prediction signal (prediction sample that isinput from prediction controller 128 indicated below) from an originalsignal (original sample) in units of a block input from splitter 102 andsplit by splitter 102. In other words, subtractor 104 calculatesprediction errors (also referred to as residuals) of a block to beencoded (hereinafter also referred to as a current block). Subtractor104 then outputs the calculated prediction errors (residuals) totransformer 106.

The original signal is a signal which has been input into encoder 100and represents an image of each picture included in a video (forexample, a luma signal and two chroma signals). Hereinafter, a signalrepresenting an image is also referred to as a sample.

[Transformer]

Transformer 106 transforms prediction errors in spatial domain intotransform coefficients in frequency domain, and outputs the transformcoefficients to quantizer 108. More specifically, transformer 106applies, for example, a defined discrete cosine transform (DCT) ordiscrete sine transform (DST) to prediction errors in spatial domain.The defined DCT or DST may be predefined.

It is to be noted that transformer 106 may adaptively select a transformtype from among a plurality of transform types, and transform predictionerrors into transform coefficients by using a transform basis functioncorresponding to the selected transform type. This sort of transform isalso referred to as explicit multiple core transform (EMT) or adaptivemultiple transform (AMT).

The transform types include, for example, DCT-II, DCT-V, DCT-VIII,DST-I, and DST-VII. FIG. 5A is a chart indicating transform basisfunctions for the example transform types. In FIG. 5A, N indicates thenumber of input pixels. For example, selection of a transform type fromamong the plurality of transform types may depend on a prediction type(one of intra prediction and inter prediction), and may depend on anintra prediction mode.

Information indicating whether to apply such EMT or AMT (referred to as,for example, an EMT flag or an AMT flag) and information indicating theselected transform type is normally signaled at the CU level. It is tobe noted that the signaling of such information does not necessarilyneed to be performed at the CU level, and may be performed at anotherlevel (for example, at the bit sequence level, picture level, slicelevel, tile level, or CTU level).

In addition, transformer 106 may re-transform the transform coefficients(transform result). Such re-transform is also referred to as adaptivesecondary transform (AST) or non-separable secondary transform (NSST).For example, transformer 106 performs re-transform in units of asub-block (for example, 4×4 sub-block) included in a transformcoefficient block corresponding to an intra prediction error.Information indicating whether to apply NSST and information related toa transform matrix for use in NSST are normally signaled at the CUlevel. It is to be noted that the signaling of such information does notnecessarily need to be performed at the CU level, and may be performedat another level (for example, at the sequence level, picture level,slice level, tile level, or CTU level).

Transformer 106 may employ a separable transform and a non-separabletransform. A separable transform is a method in which a transform isperformed a plurality of times by separately performing a transform foreach of a number of directions according to the number of dimensions ofinputs. A non-separable transform is a method of performing a collectivetransform in which two or more dimensions in multidimensional inputs arecollectively regarded as a single dimension.

In one example of a non-separable transform, when an input is a 4×4block, the 4×4 block is regarded as a single array including sixteenelements, and the transform applies a 16×16 transform matrix to thearray.

In another example of a non-separable transform, a 4×4 input block isregarded as a single array including sixteen elements, and then atransform (hypercube givens transform) in which givens revolution isperformed on the array a plurality of times may be performed.

In the transform in transformer 106, the types of bases to betransformed into the frequency domain according to regions in a CU canbe switched. Examples include spatially varying transforms (SVT). InSVT, as illustrated in FIG. 5B, CUs are split into two equal regionshorizontally or vertically, and only one of the regions is transformedinto the frequency domain. A transform basis type can be set for eachregion. For example, DST7 and DST8 are used. In this example, only oneof these two regions in the CU is transformed, and the other is nottransformed. However, both of these two regions may be transformed. Inaddition, the splitting method is not limited to the splitting into twoequal regions, and can be more flexible. For example, the CU may besplit into four equal regions, or information indicating splitting maybe encoded separately and be signaled in the same manner as the CUsplitting. It is to be noted that SVT is also referred to as sub-blocktransform (SBT).

[Quantizer]

Quantizer 108 quantizes the transform coefficients output fromtransformer 106. More specifically, quantizer 108 scans, in a determinedscanning order, the transform coefficients of the current block, andquantizes the scanned transform coefficients based on quantizationparameters (QP) corresponding to the transform coefficients. Quantizer108 then outputs the quantized transform coefficients (hereinafter alsoreferred to as quantized coefficients) of the current block to entropyencoder 110 and inverse quantizer 112. The determined scanning order maybe predetermined.

A determined scanning order is an order for quantizing/inversequantizing transform coefficients. For example, a determined scanningorder may be defined as ascending order of frequency (from low to highfrequency) or descending order of frequency (from high to lowfrequency).

A quantization parameter (QP) is a parameter defining a quantizationstep (quantization width). For example, when the value of thequantization parameter increases, the quantization step also increases.In other words, when the value of the quantization parameter increases,the quantization error increases.

In addition, a quantization matrix may be used for quantization. Forexample, several kinds of quantization matrices may be usedcorrespondingly to frequency transform sizes such as 4×4 and 8×8,prediction modes such as intra prediction and inter prediction, andpixel components such as luma and chroma pixel components. It is to benoted that quantization means digitalizing values sampled at determinedintervals correspondingly to determined levels. In this technical field,quantization may be referred to using other expressions, such asrounding and scaling, and may employ rounding and scaling. Thedetermined intervals and levels may be predetermined.

Methods using quantization matrices include a method using aquantization matrix which has been set directly at the encoder side anda method using a quantization matrix which has been set as a default(default matrix). At the encoder side, a quantization matrix suitablefor features of an image can be set by directly setting a quantizationmatrix. This case, however, has a disadvantage of increasing a codingamount for encoding the quantization matrix.

There is a method for quantizing a high-frequency coefficient and alow-frequency coefficient without using a quantization matrix. It is tobe noted that this method is equivalent to a method using a quantizationmatrix (flat matrix) whose coefficients have the same value.

The quantization matrix may be specified using, for example, a sequenceparameter set (SPS) or a picture parameter set (PPS). The SPS includes aparameter which is used for a sequence, and the PPS includes a parameterwhich is used for a picture. Each of the SPS and the PPS may be simplyreferred to as a parameter set.

[Entropy Encoder]

Entropy encoder 110 generates an encoded signal (encoded bitstream)based on quantized coefficients which have been input from quantizer108. More specifically, entropy encoder 110, for example, binarizesquantized coefficients, and arithmetically encodes the binary signal,and outputs a compressed bit stream or sequence.

[Inverse Quantizer]

Inverse quantizer 112 inverse quantizes quantized coefficients whichhave been input from quantizer 108. More specifically, inverse quantizer112 inverse quantizes, in a determined scanning order, quantizedcoefficients of the current block. Inverse quantizer 112 then outputsthe inverse quantized transform coefficients of the current block toinverse transformer 114. The determined scanning order may bepredetermined.

[Inverse Transformer]

Inverse transformer 114 restores prediction errors (residuals) byinverse transforming transform coefficients which have been input frominverse quantizer 112. More specifically, inverse transformer 114restores the prediction errors of the current block by applying aninverse transform corresponding to the transform applied by transformer106 on the transform coefficients. Inverse transformer 114 then outputsthe restored prediction errors to adder 116.

It is to be noted that since information is lost in quantization, therestored prediction errors do not match the prediction errors calculatedby subtractor 104. In other words, the restored prediction errorsnormally include quantization errors.

[Adder]

Adder 116 reconstructs the current block by adding prediction errorswhich have been input from inverse transformer 114 and predictionsamples which have been input from prediction controller 128. Adder 116then outputs the reconstructed block to block memory 118 and loop filter120. A reconstructed block is also referred to as a local decoded block.

[Block Memory]

Block memory 118 is, for example, storage for storing blocks in apicture to be encoded (hereinafter referred to as a current picture)which is referred to in intra prediction. More specifically, blockmemory 118 stores reconstructed blocks output from adder 116.

[Frame Memory]

Frame memory 122 is, for example, storage for storing reference picturesfor use in inter prediction, and is also referred to as a frame buffer.More specifically, frame memory 122 stores reconstructed blocks filteredby loop filter 120.

[Loop Filter]

Loop filter 120 applies a loop filter to blocks reconstructed by adder116, and outputs the filtered reconstructed blocks to frame memory 122.A loop filter is a filter used in an encoding loop (in-loop filter), andincludes, for example, a deblocking filter (DF or DBF), a sampleadaptive offset (SAO), and an adaptive loop filter (ALF).

In an ALF, a least square error filter for removing compressionartifacts is applied. For example, one filter selected from among aplurality of filters based on the direction and activity of localgradients is applied for each of 2×2 sub-blocks in the current block.

More specifically, first, each sub-block (for example, each 2×2sub-block) is categorized into one out of a plurality of classes (forexample, fifteen or twenty-five classes). The classification of thesub-block is based on gradient directionality and activity. For example,classification index C (for example, C=5D+A) is derived based ongradient directionality D (for example, 0 to 2 or 0 to 4) and gradientactivity A (for example, 0 to 4). Then, based on classification index C,each sub-block is categorized into one out of a plurality of classes.

For example, gradient directionality D is calculated by comparinggradients of a plurality of directions (for example, the horizontal,vertical, and two diagonal directions). Moreover, for example, gradientactivity A is calculated by adding gradients of a plurality ofdirections and quantizing the result of addition.

The filter to be used for each sub-block is determined from among theplurality of filters based on the result of such categorization.

The filter shape to be used in an ALF is, for example, a circularsymmetric filter shape. FIG. 6A through FIG. 6C illustrate examples offilter shapes used in ALFs. FIG. 6A illustrates a 5×5 diamond shapefilter, FIG. 6B illustrates a 7×7 diamond shape filter, and FIG. 6Cillustrates a 9×9 diamond shape filter. Information indicating thefilter shape is normally signaled at the picture level. It is to benoted that the signaling of such information indicating the filter shapedoes not necessarily need to be performed at the picture level, and maybe performed at another level (for example, at the sequence level, slicelevel, tile level, CTU level, or CU level).

The ON or OFF of the ALF is determined, for example, at the picturelevel or CU level. For example, the decision of whether to apply the ALFto luma may be made at the CU level, and the decision of whether toapply ALF to chroma may be made at the picture level. Informationindicating ON or OFF of the ALF is normally signaled at the picturelevel or CU level. It is to be noted that the signaling of informationindicating ON or OFF of the ALF does not necessarily need to beperformed at the picture level or CU level, and may be performed atanother level (for example, at the sequence level, slice level, tilelevel, or CTU level).

The coefficient set for the plurality of selectable filters (forexample, fifteen or up to twenty-five filters) is normally signaled atthe picture level. It is to be noted that the signaling of thecoefficient set does not necessarily need to be performed at the picturelevel, and may be performed at another level (for example, at thesequence level, slice level, tile level, CTU level, CU level, orsub-block level).

[Loop Filter>Deblocking Filter]

In a deblocking filter, loop filter 120 performs a filter process on ablock boundary in a reconstructed image so as to reduce distortion whichoccurs at the block boundary.

FIG. 7 is a block diagram illustrating one example of a specificconfiguration of loop filter 120 which functions as a deblocking filter.

Loop filter 120 includes: boundary determiner 1201; filter determiner1203; filtering executor 1205; process determiner 1208; filtercharacteristic determiner 1207; and switches 1202, 1204, and 1206.

Boundary determiner 1201 determines whether a pixel to bedeblock-filtered (that is, a current pixel) is present around a blockboundary. Boundary determiner 1201 then outputs the determination resultto switch 1202 and processing determiner 1208.

In the case where boundary determiner 1201 has determined that a currentpixel is present around a block boundary, switch 1202 outputs anunfiltered image to switch 1204. In the opposite case where boundarydeterminer 1201 has determined that no current pixel is present around ablock boundary, switch 1202 outputs an unfiltered image to switch 1206.

Filter determiner 1203 determines whether to perform deblockingfiltering of the current pixel, based on the pixel value of at least onesurrounding pixel located around the current pixel. Filter determiner1203 then outputs the determination result to switch 1204 and processingdeterminer 1208.

In the case where filter determiner 1203 has determined to performdeblocking filtering of the current pixel, switch 1204 outputs theunfiltered image obtained through switch 1202 to filtering executor1205. In the opposite case were filter determiner 1203 has determinednot to perform deblocking filtering of the current pixel, switch 1204outputs the unfiltered image obtained through switch 1202 to switch1206.

When obtaining the unfiltered image through switches 1202 and 1204,filtering executor 1205 executes, for the current pixel, deblockingfiltering with the filter characteristic determined by filtercharacteristic determiner 1207. Filtering executor 1205 then outputs thefiltered pixel to switch 1206.

Under control by processing determiner 1208, switch 1206 selectivelyoutputs a pixel which has not been deblock-filtered and a pixel whichhas been deblock-filtered by filtering executor 1205.

Processing determiner 1208 controls switch 1206 based on the results ofdeterminations made by boundary determiner 1201 and filter determiner1203. In other words, processing determiner 1208 causes switch 1206 tooutput the pixel which has been deblock-filtered when boundarydeterminer 1201 has determined that the current pixel is present aroundthe block boundary and filter determiner 1203 has determined to performdeblocking filtering of the current pixel. In addition, other than theabove case, processing determiner 1208 causes switch 1206 to output thepixel which has not been deblock-filtered. A filtered image is outputfrom switch 1206 by repeating output of a pixel in this way.

FIG. 8 is a conceptual diagram indicating an example of a deblockingfilter having a symmetrical filtering characteristic with respect to ablock boundary.

In a deblocking filter process, one of two deblocking filters havingdifferent characteristics, that is, a strong filter and a weak filter isselected using pixel values and quantization parameters. In the case ofthe strong filter, pixels p0 to p2 and pixels q0 to q2 are presentacross a block boundary as illustrated in FIG. 8, the pixel values ofthe respective pixel q0 to q2 are changed to pixel values q′0 to q′2 byperforming, for example, computations according to the expressionsbelow.

q′0=(p1+2×p0+2×q0+2×q1+q2+4)/8

q′1=(p0+q0+q1+q2+2)/4

q′2=(p0+q0+q1+3×q2+2×q3+4)/8

It is to be noted that, in the above expressions, p0 to p2 and q0 to q2are the pixel values of respective pixels p0 to p2 and pixels q0 to q2.In addition, q3 is the pixel value of neighboring pixel q3 located atthe opposite side of pixel q2 with respect to the block boundary. Inaddition, in the right side of each of the expressions, coefficientswhich are multiplied with the respective pixel values of the pixels tobe used for deblocking filtering are filter coefficients.

Furthermore, in the deblocking filtering, clipping may be performed sothat the calculated pixel values are not set over a threshold value. Inthe clipping process, the pixel values calculated according to the aboveexpressions are clipped to a value obtained according to “a computationpixel value±2×a threshold value” using the threshold value determinedbased on a quantization parameter. In this way, it is possible toprevent excessive smoothing.

FIG. 9 is a conceptual diagram for illustrating a block boundary onwhich a deblocking filter process is performed. FIG. 10 is a conceptualdiagram indicating examples of Bs values.

The block boundary on which the deblocking filter process is performedis, for example, a boundary between prediction units (PU) having 8×8pixel blocks as illustrated in FIG. 9 or a boundary between transformunits (TU). The deblocking filter process may be performed in units offour rows or four columns. First, boundary strength (Bs) values aredetermined as indicated in FIG. 10 for block P and block Q illustratedin FIG. 9.

According to the Bs values in FIG. 10, whether to perform deblockingfilter processes of block boundaries belonging to the same image usingdifferent strengths is determined. The deblocking filter process for achroma signal is performed when a Bs value is 2. The deblocking filterprocess for a luma signal is performed when a Bs value is 1 or more anda determined condition is satisfied. The determined condition may bepredetermined. It is to be noted that conditions for determining Bsvalues are not limited to those indicated in FIG. 10, and a Bs value maybe determined based on another parameter.

[Prediction Processor (Intra Predictor, Inter Predictor, PredictionController)]

FIG. 11 is a flow chart illustrating one example of a process performedby the prediction processor of encoder 100. It is to be noted that theprediction processor includes all or part of the following constituentelements: intra predictor 124; inter predictor 126; and predictioncontroller 128.

The prediction processor generates a prediction image of a current block(Step Sb_1). This prediction image is also referred to as a predictionsignal or a prediction block. It is to be noted that the predictionsignal is, for example, an intra prediction signal or an interprediction signal. Specifically, the prediction processor generates theprediction image of the current block using a reconstructed image whichhas been already obtained through generation of a prediction block,generation of a difference block, generation of a coefficient block,restoring of a difference block, and generation of a decoded imageblock.

The reconstructed image may be, for example, an image in a referencepicture, or an image of an encoded block in a current picture which isthe picture including the current block. The encoded block in thecurrent picture is, for example, a neighboring block of the currentblock.

FIG. 12 is a flow chart illustrating another example of a processperformed by the prediction processor of encoder 100.

The prediction processor generates a prediction image using a firstmethod (Step Sc_1 a), generates a prediction image using a second method(Step Sc_1 b), and generates a prediction image using a third method(Step Sc_1 c). The first method, the second method, and the third methodmay be mutually different methods for generating a prediction image.Each of the first to third methods may be an inter prediction method, anintra prediction method, or another prediction method. Theabove-described reconstructed image may be used in these predictionmethods.

Next, the prediction processor selects any one of a plurality ofprediction methods generated in Steps Sc_1 a, Sc_1 b, and Sc_1 c (StepSc_2). The selection of the prediction image, that is selection of amethod or a mode for obtaining a final prediction image may be made bycalculating a cost for each of the generated prediction images and basedon the cost. Alternatively, the selection of the prediction image may bemade based on a parameter which is used in an encoding process. Encoder100 may transform information for identifying a selected predictionimage, a method, or a mode into an encoded signal (also referred to asan encoded bitstream). The information may be, for example, a flag orthe like. In this way, the decoder is capable of generating a predictionimage according to the method or the mode selected based on theinformation in encoder 100. It is to be noted that, in the exampleillustrated in FIG. 12, the prediction processor selects any of theprediction images after the prediction images are generated using therespective methods. However, the prediction processor may select amethod or a mode based on a parameter for use in the above-describedencoding process before generating prediction images, and may generate aprediction image according to the method or mode selected.

For example, the first method and the second method may be intraprediction and inter prediction, respectively, and the predictionprocessor may select a final prediction image for a current block fromprediction images generated according to the prediction methods.

FIG. 13 is a flow chart illustrating another example of a processperformed by the prediction processor of encoder 100.

First, the prediction processor generates a prediction image using intraprediction (Step Sd_1 a), and generates a prediction image using interprediction (Step Sd_1 b). It is to be noted that the prediction imagegenerated by intra prediction is also referred to as an intra predictionimage, and the prediction image generated by inter prediction is alsoreferred to as an inter prediction image.

Next, the prediction processor evaluates each of the intra predictionimage and the inter prediction image (Step Sd_2). A cost may be used inthe evaluation. In other words, the prediction processor calculates costC for each of the intra prediction image and the inter prediction image.Cost C may be calculated according to an expression of an R-Doptimization model, for example, C=D+λ×R. In this expression, Dindicates a coding distortion of a prediction image, and is representedas, for example, a sum of absolute differences between the pixel valueof a current block and the pixel value of a prediction image. Inaddition, R indicates a predicted coding amount of a prediction image,specifically, the coding amount required to encode motion informationfor generating a prediction image, etc. In addition, λ indicates, forexample, a multiplier according to the method of Lagrange multiplier.

The prediction processor then selects the prediction image for which thesmallest cost C has been calculated among the intra prediction image andthe inter prediction image, as the final prediction image for thecurrent block (Step Sd_3). In other words, the prediction method or themode for generating the prediction image for the current block isselected.

[Intra Predictor]

Intra predictor 124 generates a prediction signal (intra predictionsignal) by performing intra prediction (also referred to as intra frameprediction) of the current block by referring to a block or blocks inthe current picture and stored in block memory 118. More specifically,intra predictor 124 generates an intra prediction signal by performingintra prediction by referring to samples (for example, luma and/orchroma values) of a block or blocks neighboring the current block, andthen outputs the intra prediction signal to prediction controller 128.

For example, intra predictor 124 performs intra prediction by using onemode from among a plurality of intra prediction modes which have beendefined. The intra prediction modes include one or more non-directionalprediction modes and a plurality of directional prediction modes. Thedefined modes may be predefined.

The one or more non-directional prediction modes include, for example,the planar prediction mode and DC prediction mode defined in theH.265/high-efficiency video coding (HEVC) standard.

The plurality of directional prediction modes include, for example, thethirty-three directional prediction modes defined in the H.265/HEVCstandard. It is to be noted that the plurality of directional predictionmodes may further include thirty-two directional prediction modes inaddition to the thirty-three directional prediction modes (for a totalof sixty-five directional prediction modes). FIG. 14 is a conceptualdiagram illustrating sixty-seven intra prediction modes in total thatmay be used in intra prediction (two non-directional prediction modesand sixty-five directional prediction modes). The solid arrows representthe thirty-three directions defined in the H.265/HEVC standard, and thedashed arrows represent the additional thirty-two directions (the twonon-directional prediction modes are not illustrated in FIG. 14).

In various kinds of processing examples, a luma block may be referred toin intra prediction of a chroma block. In other words, a chromacomponent of the current block may be predicted based on a lumacomponent of the current block. Such intra prediction is also referredto as cross-component linear model (CCLM) prediction. The intraprediction mode for a chroma block in which such a luma block isreferred to (also referred to as, for example, a CCLM mode) may be addedas one of the intra prediction modes for chroma blocks.

Intra predictor 124 may correct intra-predicted pixel values based onhorizontal/vertical reference pixel gradients. Intra predictionaccompanied by this sort of correcting is also referred to as positiondependent intra prediction combination (PDPC). Information indicatingwhether to apply PDPC (referred to as, for example, a PDPC flag) isnormally signaled at the CU level. It is to be noted that the signalingof such information does not necessarily need to be performed at the CUlevel, and may be performed at another level (for example, at thesequence level, picture level, slice level, tile level, or CTU level).

[Inter Predictor]

Inter predictor 126 generates a prediction signal (inter predictionsignal) by performing inter prediction (also referred to as inter frameprediction) of the current block by referring to a block or blocks in areference picture, which is different from the current picture and isstored in frame memory 122. Inter prediction is performed in units of acurrent block or a current sub-block (for example, a 4×4 block) in thecurrent block. For example, inter predictor 126 performs motionestimation in a reference picture for the current block or the currentsub-block, and finds out a reference block or a sub-block which bestmatches the current block or the current sub-block. Inter predictor 126then obtains motion information (for example, a motion vector) whichcompensates a motion or a change from the reference block or thesub-block to the current block or the sub-block. Inter predictor 126generates an inter prediction signal of the current block or thesub-block by performing motion compensation (or motion prediction) basedon the motion information. Inter predictor 126 outputs the generatedinter prediction signal to prediction controller 128.

The motion information used in motion compensation may be signaled asinter prediction signals in various forms. For example, a motion vectormay be signaled. As another example, the difference between a motionvector and a motion vector predictor may be signaled.

[Basic Flow of Inter Prediction]

FIG. 15 is a flow chart illustrating an example basic processing flow ofinter prediction.

First, inter predictor 126 generates a prediction signal (Steps Se_1 toSe_3). Next, subtractor 104 generates the difference between a currentblock and a prediction image as a prediction residual (Step Se_4).

Here, in the generation of the prediction image, inter predictor 126generates the prediction image through determination of a motion vector(MV) of the current block (Steps Se_1 and Se_2) and motion compensation(Step Se_3). Furthermore, in determination of an MV, inter predictor 126determines the MV through selection of a motion vector candidate (MVcandidate) (Step Se_1) and derivation of an MV (Step Se_2). Theselection of the MV candidate is made by, for example, selecting atleast one MV candidate from an MV candidate list. Alternatively, inderivation of an MV, inter predictor 126 may further select at least oneMV candidate from the at least one MV candidate, and determine theselected at least one MV candidate as the MV for the current block.Alternatively, inter predictor 126 may determine the MV for the currentblock by performing estimation in a reference picture region specifiedby each of the selected at least one MV candidate. It is to be notedthat the estimation in a reference picture region may be referred to asmotion estimation.

In addition, although Steps Se_1 to Se_3 are performed by interpredictor 126 in the above-described example, a process that is forexample Step Se_1, Step Se_2, or the like may be performed by anotherconstituent element included in encoder 100.

[Motion Vector Derivation Flow]

FIG. 16 is a flow chart illustrating one example of derivation of motionvectors.

Inter predictor 126 derives an MV of a current block in a mode forencoding motion information (for example, an MV). In this case, forexample, the motion information is encoded as a prediction parameter,and is signaled. In other words, the encoded motion information isincluded in an encoded signal (also referred to as an encodedbitstream).

Alternatively, inter predictor 126 derives an MV in a mode in whichmotion information is not encoded. In this case, no motion informationis included in an encoded signal.

Here, MV derivation modes may include a normal inter mode, a merge mode,a FRUC mode, an affine mode, etc. which are described later. Modes inwhich motion information is encoded among the modes include the normalinter mode, the merge mode, the affine mode (specifically, an affineinter mode and an affine merge mode), etc. It is to be noted that motioninformation may include not only an MV but also motion vector predictorselection information which is described later. Modes in which no motioninformation is encoded include the FRUC mode, etc. Inter predictor 126selects a mode for deriving an MV of the current block from theplurality of modes, and derives the MV of the current block using theselected mode.

FIG. 17 is a flow chart illustrating another example of derivation ofmotion vectors.

Inter predictor 126 derives an MV of a current block in a mode in whichan MV difference is encoded. In this case, for example, the MVdifference is encoded as a prediction parameter, and is signaled. Inother words, the encoded MV difference is included in an encoded signal.The MV difference is the difference between the MV of the current blockand the MV predictor.

Alternatively, inter predictor 126 derives an MV in a mode in which noMV difference is encoded. In this case, no encoded MV difference isincluded in an encoded signal.

Here, as described above, the MV derivation modes include the normalinter mode, the merge mode, the FRUC mode, the affine mode, etc. whichare described later. Modes in which an MV difference is encoded amongthe modes include the normal inter mode, the affine mode (specifically,the affine inter mode), etc. Modes in which no MV difference is encodedinclude the FRUC mode, the merge mode, the affine mode (specifically,the affine merge mode), etc. Inter predictor 126 selects a mode forderiving an MV of the current block from the plurality of modes, andderives the MV of the current block using the selected mode.

[Motion Vector Derivation Flow]

FIG. 18 is a flow chart illustrating another example of derivation ofmotion vectors. The MV derivation modes which are inter prediction modesinclude a plurality of modes and are roughly divided into modes in whichan MV difference is encoded and modes in which no motion vectordifference is encoded. The modes in which no MV difference is encodedinclude the merge mode, the FRUC mode, the affine mode (specifically,the affine merge mode), etc. These modes are described in detail later.Simply, the merge mode is a mode for deriving an MV of a current blockby selecting a motion vector from an encoded surrounding block, and theFRUC mode is a mode for deriving an MV of a current block by performingestimation between encoded regions. The affine mode is a mode forderiving, as an MV of a current block, a motion vector of each of aplurality of sub-blocks included in the current block, assuming affinetransform.

More specifically, as illustrated when the inter prediction modeinformation indicates 0 (0 in Sf_1), inter predictor 126 derives amotion vector using the merge mode (Sf_2). When the inter predictionmode information indicates 1 (1 in Sf_1), inter predictor 126 derives amotion vector using the FRUC mode (Sf_3). When the inter prediction modeinformation indicates 2 (2 in Sf_1), inter predictor 126 derives amotion vector using the affine mode (specifically, the affine mergemode) (Sf_4). When the inter prediction mode information indicates 3 (3in Sf_1), inter predictor 126 derives a motion vector using a mode inwhich an MV difference is encoded (for example, a normal inter mode(Sf_5).

[MV Derivation>Normal Inter Mode]

The normal inter mode is an inter prediction mode for deriving an MV ofa current block based on a block similar to the image of the currentblock from a reference picture region specified by an MV candidate. Inthis normal inter mode, an MV difference is encoded.

FIG. 19 is a flow chart illustrating an example of inter prediction innormal inter mode.

First, inter predictor 126 obtains a plurality of MV candidates for acurrent block based on information such as MVs of a plurality of encodedblocks temporally or spatially surrounding the current block (StepSg_1). In other words, inter predictor 126 generates an MV candidatelist.

Next, inter predictor 126 extracts N (an integer of 2 or larger) MVcandidates from the plurality of MV candidates obtained in Step Sg_1, asmotion vector predictor candidates (also referred to as MV predictorcandidates) according to a determined priority order (Step Sg_2). It isto be noted that the priority order may be determined in advance foreach of the N MV candidates.

Next, inter predictor 126 selects one motion vector predictor candidatefrom the N motion vector predictor candidates, as the motion vectorpredictor (also referred to as an MV predictor) of the current block(Step Sg_3). At this time, inter predictor 126 encodes, in a stream,motion vector predictor selection information for identifying theselected motion vector predictor. It is to be noted that the stream isan encoded signal or an encoded bitstream as described above.

Next, inter predictor 126 derives an MV of a current block by referringto an encoded reference picture (Step Sg_4). At this time, interpredictor 126 further encodes, in the stream, the difference valuebetween the derived MV and the motion vector predictor as an MVdifference. It is to be noted that the encoded reference picture is apicture including a plurality of blocks which have been reconstructedafter being encoded.

Lastly, inter predictor 126 generates a prediction image for the currentblock by performing motion compensation of the current block using thederived MV and the encoded reference picture (Step Sg_5). It is to benoted that the prediction image is an inter prediction signal asdescribed above.

In addition, information indicating the inter prediction mode (normalinter mode in the above example) used to generate the prediction imageis, for example, encoded as a prediction parameter.

It is to be noted that the MV candidate list may be also used as a listfor use in another mode. In addition, the processes related to the MVcandidate list may be applied to processes related to the list for usein another mode. The processes related to the MV candidate list include,for example, extraction or selection of an MV candidate from the MVcandidate list, reordering of MV candidates, or deletion of an MVcandidate.

[MV Derivation>Merge Mode]

The merge mode is an inter prediction mode for selecting an MV candidatefrom an MV candidate list as an MV of a current block, thereby derivingthe MV.

FIG. 20 is a flow chart illustrating an example of inter prediction inmerge mode.

First, inter predictor 126 obtains a plurality of MV candidates for acurrent block based on information such as MVs of a plurality of encodedblocks temporally or spatially surrounding the current block (StepSh_1). In other words, inter predictor 126 generates an MV candidatelist.

Next, inter predictor 126 selects one MV candidate from the plurality ofMV candidates obtained in Step Sh_1, thereby deriving an MV of thecurrent block (Step Sh_2). At this time, inter predictor 126 encodes, ina stream, MV selection information for identifying the selected MVcandidate.

Lastly, inter predictor 126 generates a prediction image for the currentblock by performing motion compensation of the current block using thederived MV and the encoded reference picture (Step Sh_3).

In addition, information indicating the inter prediction mode (mergemode in the above example) used to generate the prediction image andincluded in the encoded signal is, for example, encoded as a predictionparameter.

FIG. 21 is a conceptual diagram for illustrating one example of a motionvector derivation process of a current picture in merge mode.

First, an MV candidate list in which MV predictor candidates areregistered is generated. Examples of MV predictor candidates include:spatially neighboring MV predictors which are MVs of a plurality ofencoded blocks located spatially surrounding a current block; temporallyneighboring MV predictors which are MVs of surrounding blocks on whichthe position of a current block in an encoded reference picture isprojected; combined MV predictors which are MVs generated by combiningthe MV value of a spatially neighboring MV predictor and the MV of atemporally neighboring MV predictor; and a zero MV predictor which is anMV having a zero value.

Next, one MV predictor is selected from a plurality of MV predictorsregistered in an MV predictor list, and the selected MV predictor isdetermined as the MV of a current block.

Furthermore, the variable length encoder describes and encodes, in astream, merge_idx which is a signal indicating which MV predictor hasbeen selected.

It is to be noted that the MV predictors registered in the MV predictorlist described in FIG. 21 are examples. The number of MV predictors maybe different from the number of MV predictors in the diagram, the MVpredictor list may be configured in such a manner that some of the kindsof the MV predictors in the diagram may not be included, or that one ormore MV predictors other than the kinds of MV predictors in the diagramare included.

A final MV may be determined by performing a decoder motion vectorrefinement process (DMVR) to be described later using the MV of thecurrent block derived in merge mode.

It is to be noted that the MV predictor candidates are MV candidatesdescribed above, and the MV predictor list is the MV candidate listdescribed above. It is to be noted that the MV candidate list may bereferred to as a candidate list. In addition, merge_idx is MV selectioninformation.

[MV Derivation>FRUC Model]

Motion information may be derived at the decoder side without beingsignaled from the encoder side. It is to be noted that, as describedabove, the merge mode defined in the H.265/HEVC standard may be used. Inaddition, for example, motion information may be derived by performingmotion estimation at the decoder side. In an embodiment, at the decoderside, motion estimation is performed without using any pixel value in acurrent block.

Here, a mode for performing motion estimation at the decoder side isdescribed. The mode for performing motion estimation at the decoder sidemay be referred to as a pattern matched motion vector derivation (PMMVD)mode, or a frame rate up-conversion (FRUC) mode.

One example of a FRUC process in the form of a flow chart is illustratedin FIG. 22. First, a list of a plurality of candidates each having amotion vector (MV) predictor (that is, an MV candidate list that may bealso used as a merge list) is generated by referring to a motion vectorin an encoded block which spatially or temporally neighbors a currentblock (Step Si_1). Next, a best MV candidate is selected from theplurality of MV candidates registered in the MV candidate list (StepSi_2). For example, the evaluation values of the respective MVcandidates included in the MV candidate list are calculated, and one MVcandidate is selected based on the evaluation values. Based on theselected motion vector candidates, a motion vector for the current blockis then derived (Step Si_4). More specifically, for example, theselected motion vector candidate (best MV candidate) is derived directlyas the motion vector for the current block. In addition, for example,the motion vector for the current block may be derived using patternmatching in a surrounding region of a position in a reference picturewhere the position in the reference picture corresponds to the selectedmotion vector candidate. In other words, estimation using the patternmatching and the evaluation values may be performed in the surroundingregion of the best MV candidate, and when there is an MV that yields abetter evaluation value, the best MV candidate may be updated to the MVthat yields the better evaluation value, and the updated MV may bedetermined as the final MV for the current block. A configuration inwhich no such a process for updating the best MV candidate to the MVhaving a better evaluation value is performed is also possible.

Lastly, inter predictor 126 generates a prediction image for the currentblock by performing motion compensation of the current block using thederived MV and the encoded reference picture (Step Si_5).

A similar process may be performed in units of a sub-block.

Evaluation values may be calculated according to various kinds ofmethods. For example, a comparison is made between a reconstructed imagein a region in a reference picture corresponding to a motion vector anda reconstructed image in a determined region (the region may be, forexample, a region in another reference picture or a region in aneighboring block of a current picture, as indicated below). Thedetermined region may be predetermined. The difference between the pixelvalues of the two reconstructed images may be used for an evaluationvalue of the motion vectors. It is to be noted that an evaluation valuemay be calculated using information other than the value of thedifference.

Next, an example of pattern matching is described in detail. First, oneMV candidate included in an MV candidate list (for example, a mergelist) is selected as a start point of estimation by the patternmatching. For example, as the pattern matching, either a first patternmatching or a second pattern matching may be used. The first patternmatching and the second pattern matching are also referred to asbilateral matching and template matching, respectively.

[MV Derivation>FRUC>Bilateral Matching]

In the first pattern matching, pattern matching is performed between twoblocks along a motion trajectory of a current block which are two blocksin different two reference pictures. Accordingly, in the first patternmatching, a region in another reference picture along the motiontrajectory of the current block is used as a determined region forcalculating the evaluation value of the above-described candidate. Thedetermined region may be predetermined.

FIG. 23 is a conceptual diagram for illustrating one example of thefirst pattern matching (bilateral matching) between the two blocks inthe two reference pictures along the motion trajectory. As illustratedin FIG. 23, in the first pattern matching, two motion vectors (MV0, MV1)are derived by estimating a pair which best matches among pairs in thetwo blocks in the two different reference pictures (Ref0, Ref1) whichare the two blocks along the motion trajectory of the current block (Curblock). More specifically, a difference between the reconstructed imageat a specified location in the first encoded reference picture (Ref0)specified by an MV candidate and the reconstructed image at a specifiedlocation in the second encoded reference picture (Ref1) specified by asymmetrical MV obtained by scaling the MV candidate at a display timeinterval is derived for the current block, and an evaluation value iscalculated using the value of the obtained difference. It is possible toselect, as the final MV, the MV candidate which yields the bestevaluation value among the plurality of MV candidates, and which islikely to produce good results.

In the assumption of a continuous motion trajectory, the motion vectors(MV0, MV1) specifying the two reference blocks are proportional totemporal distances (TD0, TD1) between the current picture (Cur Pic) andthe two reference pictures (Ref0, Ref1). For example, when the currentpicture is temporally located between the two reference pictures and thetemporal distances from the current picture to the respective tworeference pictures are equal to each other, mirror-symmetricalbi-directional motion vectors are derived in the first pattern matching.

[MV Derivation>FRUC>Template Matching]

In the second pattern matching (template matching), pattern matching isperformed between a block in a reference picture and a template in thecurrent picture (the template is a block neighboring the current blockin the current picture (the neighboring block is, for example, an upperand/or left neighboring block(s))). Accordingly, in the second patternmatching, the block neighboring the current block in the current pictureis used as the determined region for calculating the evaluation value ofthe above-described candidate.

FIG. 24 is a conceptual diagram for illustrating one example of patternmatching (template matching) between a template in a current picture anda block in a reference picture. As illustrated in FIG. 24, in the secondpattern matching, the motion vector of the current block (Cur block) isderived by estimating, in the reference picture (Ref0), the block whichbest matches the block neighboring the current block in the currentpicture (Cur Pic). More specifically, it is possible that the differencebetween a reconstructed image in an encoded region which neighbors bothleft and above or either left or above and a reconstructed image whichis in a corresponding region in the encoded reference picture (Ref0) andis specified by an MV candidate is derived, an evaluation value iscalculated using the value of the obtained difference, and the MVcandidate which yields the best evaluation value among a plurality of MVcandidates is selected as the best MV candidate.

Such information indicating whether to apply the FRUC mode (referred toas, for example, a FRUC flag) may be signaled at the CU level. Inaddition, when the FRUC mode is applied (for example, when a FRUC flagis true), information indicating an applicable pattern matching method(either the first pattern matching or the second pattern matching) maybe signaled at the CU level. It is to be noted that the signaling ofsuch information does not necessarily need to be performed at the CUlevel, and may be performed at another level (for example, at thesequence level, picture level, slice level, tile level, CTU level, orsub-block level).

[MV Derivation>Affine Model]

Next, the affine mode for deriving a motion vector in units of asub-block based on motion vectors of a plurality of neighboring blocksis described. This mode is also referred to as an affine motioncompensation prediction mode.

FIG. 25A is a conceptual diagram for illustrating one example ofderiving a motion vector of each sub-block based on motion vectors of aplurality of neighboring blocks. In FIG. 25A, the current block includessixteen 4×4 sub-blocks. Here, motion vector V₀ at an upper-left cornercontrol point in the current block is derived based on a motion vectorof a neighboring block, and likewise, motion vector V₁ at an upper-rightcorner control point in the current block is derived based on a motionvector of a neighboring sub-block. Two motion vectors v₀ and v₁ may beprojected according to an expression (1A) indicated below, and motionvectors (v_(x), v_(y)) for the respective sub-blocks in the currentblock may be derived.

$\begin{matrix}\left\lbrack {{Math}.\mspace{14mu} 1} \right\rbrack & \; \\\left\{ \begin{matrix}{v_{x} = {{\frac{\left( {v_{1x} - v_{0x}} \right)}{w}x} - {\frac{\left( {v_{1y} - v_{0y}} \right)}{w}y} + v_{0x}}} \\{v_{y} = {{\frac{\left( {v_{1y} - v_{0y}} \right)}{w}x} - {\frac{\left( {v_{1x} - v_{0x}} \right)}{w}y} + v_{0y}}}\end{matrix} \right. & \left( {1A} \right)\end{matrix}$

Here, x and y indicate the horizontal position and the vertical positionof the sub-block, respectively, and w indicates a determined weightingcoefficient. The determined weighting coefficient may be predetermined.

Such information indicating the affine mode (for example, referred to asan affine flag) may be signaled at the CU level. It is to be noted thatthe signaling of the information indicating the affine mode does notnecessarily need to be performed at the CU level, and may be performedat another level (for example, at the sequence level, picture level,slice level, tile level, CTU level, or sub-block level).

In addition, the affine mode may include several modes for differentmethods for deriving motion vectors at the upper-left and upper-rightcorner control points. For example, the affine modes include two modeswhich are the affine inter mode (also referred to as the affine normalinter mode) and the affine merge mode.

[MV Derivation>Affine Model]

FIG. 25B is a conceptual diagram for illustrating one example ofderiving a motion vector of each sub-block in affine mode in which threecontrol points are used. In FIG. 25B, the current block includes sixteen4×4 blocks. Here, motion vector V₀ at the upper-left corner controlpoint for the current block is derived based on a motion vector of aneighboring block, and likewise, motion vector V₁ at the upper-rightcorner control point for the current block is derived based on a motionvector of a neighboring block, and motion vector V₂ at the lower-leftcorner control point for the current block is derived based on a motionvector of a neighboring block. Three motion vectors v₀, v₁, and v₂ maybe projected according to an expression (1B) indicated below, and motionvectors (v_(x), v_(y)) for the respective sub-blocks in the currentblock may be derived.

$\begin{matrix}\left\lbrack {{Math}.\mspace{14mu} 2} \right\rbrack & \; \\\left\{ \begin{matrix}{v_{x} = {{\frac{\left( {v_{1x} - v_{0x}} \right)}{w}x} - {\frac{\left( {v_{2x} - v_{0x}} \right)}{h}y} + v_{0x}}} \\{v_{y} = {{\frac{\left( {v_{1y} - v_{0y}} \right)}{w}x} - {\frac{\left( {v_{2y} - v_{0x}} \right)}{h}y} + v_{0y}}}\end{matrix} \right. & \left( {1B} \right)\end{matrix}$

Here, x and y indicate the horizontal position and the vertical positionof the center of the sub-block, respectively, w indicates the width ofthe current block, and h indicates the height of the current block.

Affine modes in which different numbers of control points (for example,two and three control points) are used may be switched and signaled atthe CU level. It is to be noted that information indicating the numberof control points in affine mode used at the CU level may be signaled atanother level (for example, the sequence level, picture level, slicelevel, tile level, CTU level, or sub-block level).

In addition, such an affine mode in which three control points are usedmay include different methods for deriving motion vectors at theupper-left, upper-right, and lower-left corner control points. Forexample, the affine modes include two modes which are the affine intermode (also referred to as the affine normal inter mode) and the affinemerge mode.

[MV Derivation>Affine Merge Model]

FIG. 26A, FIG. 26B, and FIG. 26C are conceptual diagrams forillustrating the affine merge mode.

As illustrated in FIG. 26A, in the affine merge mode, for example,motion vector predictors at respective control points of a current blockare calculated based on a plurality of motion vectors corresponding toblocks encoded according to the affine mode among encoded block A(left), block B (upper), block C (upper-right), block D (lower-left),and block E (upper-left) which neighbor the current block. Morespecifically, encoded block A (left), block B (upper), block C(upper-right), block D (lower-left), and block E (upper-left) arechecked in the listed order, and the first effective block encodedaccording to the affine mode is identified. Motion vector predictors atthe control points of the current block are calculated based on aplurality of motion vectors corresponding to the identified block.

For example, as illustrated in FIG. 26B, when block A which neighbors tothe left of the current block has been encoded according to an affinemode in which two control points are used, motion vectors v₃ and v₄projected at the upper-left corner position and the upper-right cornerposition of the encoded block including block A are derived. Motionvector predictor v₀ at the upper-left corner control point of thecurrent block and motion vector predictor v₁ at the upper-right cornercontrol point of the current block are then calculated from derivedmotion vectors v₃ and v₄.

For example, as illustrated in FIG. 26C, when block A which neighbors tothe left of the current block has been encoded according to an affinemode in which three control points are used, motion vectors v₃, v₄, andv₅ projected at the upper-left corner position, the upper-right cornerposition, and the lower-left corner position of the encoded blockincluding block A are derived. Motion vector predictor v₀ at theupper-left corner control point of the current block, motion vectorpredictor v₁ at the upper-right corner control point of the currentblock, and motion vector predictor v₂ at the lower-left corner controlpoint of the current block are then calculated from derived motionvectors v₃, v₄, and v₅.

It is to be noted that this method for deriving motion vector predictorsmay be used to derive motion vector predictors of the respective controlpoints of the current block in Step Sj_1 in FIG. 29 described later.

FIG. 27 is a flow chart illustrating one example of the affine mergemode.

In affine merge mode as illustrated, first, inter predictor 126 derivesMV predictors of respective control points of a current block (StepSk_1). The control points are an upper-left corner point of the currentblock and an upper-right corner point of the current block asillustrated in FIG. 25A, or an upper-left corner point of the currentblock, an upper-right corner point of the current block, and alower-left corner point of the current block as illustrated in FIG. 25B.

In other words, as illustrated in FIG. 26A, inter predictor 126 checksencoded block A (left), block B (upper), block C (upper-right), block D(lower-left), and block E (upper-left) in the listed order, andidentifies the first effective block encoded according to the affinemode.

When block A is identified and block A has two control points, asillustrated in FIG. 26B, inter predictor 126 calculates motion vector v₀at the upper-left corner control point of the current block and motionvector v₁ at the upper-right corner control point of the current blockfrom motion vectors v₃ and v₄ at the upper-left corner and theupper-right corner of the encoded block including block A. For example,inter predictor 126 calculates motion vector v₀ at the upper-left cornercontrol point of the current block and motion vector v₁ at theupper-right corner control point of the current block by projectingmotion vectors v₃ and v₄ at the upper-left corner and the upper-rightcorner of the encoded block onto the current block.

Alternatively, when block A is identified and block A has three controlpoints, as illustrated in FIG. 26C, inter predictor 126 calculatesmotion vector v₀ at the upper-left corner control point of the currentblock, motion vector v₁ at the upper-right corner control point of thecurrent block, and motion vector v₂ at the lower-left corner controlpoint of the current block from motion vectors v₃, v₄, and v₅ at theupper-left corner, the upper-right corner, and the lower-left corner ofthe encoded block including block A. For example, inter predictor 126calculates motion vector v₀ at the upper-left corner control point ofthe current block, motion vector v₁ at the upper-right corner controlpoint of the current block, and motion vector v₂ at the lower-leftcorner control point of the current block by projecting motion vectorsv₃, v₄, and v₅ at the upper-left corner, the upper-right corner, and thelower-left corner of the encoded block onto the current block.

Next, inter predictor 126 performs motion compensation of each of aplurality of sub-blocks included in the current block. In other words,inter predictor 126 calculates, for each of the plurality of sub-blocks,a motion vector of the sub-block as an affine MV, by using either (i)two motion vector predictors v₀ and v₁ and the expression (1A) describedabove or (ii) three motion vector predictors v₀, v₁, and v₂ and theexpression (1B) described above (Step Sk_2). Inter predictor 126 thenperforms motion compensation of the sub-blocks using these affine MVsand encoded reference pictures (Step Sk_3). As a result, motioncompensation of the current block is performed to generate a predictionimage of the current block.

[MV Derivation>Affine Inter Model]

FIG. 28A is a conceptual diagram for illustrating an affine inter modein which two control points are used.

In the affine inter mode, as illustrated in FIG. 28A, a motion vectorselected from motion vectors of encoded block A, block B, and block Cwhich neighbor the current block is used as motion vector predictor v₀at the upper-left corner control point of the current block. Likewise, amotion vector selected from motion vectors of encoded block D and blockE which neighbor the current block is used as motion vector predictor viat the upper-right corner control point of the current block.

FIG. 28B is a conceptual diagram for illustrating an affine inter modein which three control points are used.

In the affine inter mode, as illustrated in FIG. 28B, a motion vectorselected from motion vectors of encoded block A, block B, and block Cwhich neighbor the current block is used as motion vector predictor v₀at the upper-left corner control point of the current block. Likewise, amotion vector selected from motion vectors of encoded block D and blockE which neighbor the current block is used as motion vector predictor v₁at the upper-right corner control point of the current block.Furthermore, a motion vector selected from motion vectors of encodedblock F and block G which neighbor the current block is used as motionvector predictor v₂ at the lower-left corner control point of thecurrent block.

FIG. 29 is a flow chart illustrating one example of an affine intermode.

In the affine inter mode as illustrated, first, inter predictor 126derives MV predictors (v₀, v₁) or (v₀, v₁, v₂) of respective two orthree control points of a current block (Step Sj_1). The control pointsare an upper-left corner point of the current block and an upper-rightcorner point of the current block as illustrated in FIG. 25A, or anupper-left corner point of the current block, an upper-right cornerpoint of the current block, and a lower-left corner point of the currentblock as illustrated in FIG. 25B.

In other words, inter predictor 126 derives the motion vector predictors(v₀, v₁) or (v₀, v₁, v₂) _(o)f respective two or three control points ofthe current block by selecting motion vectors of any of the blocks amongencoded blocks in the vicinity of the respective control points of thecurrent block illustrated in either FIG. 28A or FIG. 28B. At this time,inter predictor 126 encodes, in a stream, motion vector predictorselection information for identifying the selected two motion vectors.

For example, inter predictor 126 may determine, using a cost evaluationor the like, the block from which a motion vector as a motion vectorpredictor at a control point is selected from among encoded blocksneighboring the current block, and may describe, in a bitstream, a flagindicating which motion vector predictor has been selected.

Next, inter predictor 126 performs motion estimation (Step Sj_3 andSj_4) while updating a motion vector predictor selected or derived inStep Sj_1 (Step Sj_2). In other words, inter predictor 126 calculates,as an affine MV, a motion vector of each of sub-blocks which correspondsto an updated motion vector predictor, using either the expression (1A)or expression (1B) described above (Step Sj_3). Inter predictor 126 thenperforms motion compensation of the sub-blocks using these affine MVsand encoded reference pictures (Step Sj_4). As a result, for example,inter predictor 126 determines the motion vector predictor which yieldsthe smallest cost as the motion vector at a control point in a motionestimation loop (Step Sj_5). At this time, inter predictor 126 furtherencodes, in the stream, the difference value between the determined MVand the motion vector predictor as an MV difference.

Lastly, inter predictor 126 generates a prediction image for the currentblock by performing motion compensation of the current block using thedetermined MV and the encoded reference picture (Step Sj_6).

[MV Derivation>Affine Inter Model]

When affine modes in which different numbers of control points (forexample, two and three control points) are used may be switched andsignaled at the CU level, the number of control points in an encodedblock and the number of control points in a current block may bedifferent from each other. FIG. 30A and FIG. 30B are conceptual diagramsfor illustrating methods for deriving motion vector predictors atcontrol points when the number of control points in an encoded block andthe number of control points in a current block are different from eachother.

For example, as illustrated in FIG. 30A, when a current block has threecontrol points at the upper-left corner, the upper-right corner, and thelower-left corner, and block A which neighbors to the left of thecurrent block has been encoded according to an affine mode in which twocontrol points are used, motion vectors v₃ and v₄ projected at theupper-left corner position and the upper-right corner position in theencoded block including block A are derived. Motion vector predictor v₀at the upper-left corner control point of the current block and motionvector predictor v₁ at the upper-right corner control point of thecurrent block are then calculated from derived motion vectors v₃ and v₄.Furthermore, motion vector predictor v₂ at the lower-left corner controlpoint is calculated from derived motion vectors v₀ and v₁.

For example, as illustrated in FIG. 30B, when a current block has twocontrol points at the upper-left corner and the upper-right corner, andblock A which neighbors to the left of the current block has beenencoded according to the affine mode in which three control points areused, motion vectors v₃, v₄, and v₅ projected at the upper-left cornerposition, the upper-right corner position, and the lower-left cornerposition in the encoded block including block A are derived. Motionvector predictor v₀ at the upper-left corner control point of thecurrent block and motion vector predictor v₁ at the upper-right cornercontrol point of the current block are then calculated from derivedmotion vectors v₃, v₄, and v₅.

It is to be noted that this method for deriving motion vector predictorsmay be used to derive motion vector predictors of the respective controlpoints of the current block in Step Sj_1 in FIG. 29.

[MV Derivation>DMVR]

FIG. 31A is a flow chart illustrating a relationship between the mergemode and DMVR.

Inter predictor 126 derives a motion vector of a current block accordingto the merge mode (Step Sl_1). Next, inter predictor 126 determineswhether to perform estimation of a motion vector, that is, motionestimation (Step Sl_2). Here, when determining not to perform motionestimation (No in Step Sl_2), inter predictor 126 determines the motionvector derived in Step Sl_1 as the final motion vector for the currentblock (Step Sl_4). In other words, in this case, the motion vector ofthe current block is determined according to the merge mode.

When determining to perform motion estimation in Step Sl_1 (Yes in StepSl_2), inter predictor 126 derives the final motion vector for thecurrent block by estimating a surrounding region of the referencepicture specified by the motion vector derived in Step Sl_1 (Step Sl_3).In other words, in this case, the motion vector of the current block isdetermined according to the DMVR.

FIG. 31B is a conceptual diagram for illustrating one example of a DMVRprocess for determining an MV.

First, (for example, in merge mode) the best MVP which has been set tothe current block is determined to be an MV candidate. A reference pixelis identified from a first reference picture (L0) which is an encodedpicture in the L0 direction according to an MV candidate (L0). Likewise,a reference pixel is identified from a second reference picture (L1)which is an encoded picture in the L1 direction according to an MVcandidate (L1). A template is generated by calculating an average ofthese reference pixels.

Next, each of the surrounding regions of MV candidates of the firstreference picture (L0) and the second reference picture (L1) areestimated, and the MV which yields the smallest cost is determined to bethe final MV. It is to be noted that the cost value may be calculated,for example, using a difference value between each of the pixel valuesin the template and a corresponding one of the pixel values in theestimation region, the values of MV candidates, etc.

It is to be noted that the processes, configurations, and operationsdescribed here typically are basically common between the encoder and adecoder to be described later.

Exactly the same example processes described here do not always need tobe performed. Any process for enabling derivation of the final MV byestimation in surrounding regions of MV candidates may be used.

[Motion Compensation>BIO/OBMC]

Motion compensation involves a mode for generating a prediction image,and correcting the prediction image. The mode is, for example, BIO andOBMC to be described later.

FIG. 32 is a flow chart illustrating one example of generation of aprediction image.

Inter predictor 126 generates a prediction image (Step Sm_1), andcorrects the prediction image, for example, according to any of themodes described above (Step Sm_2).

FIG. 33 is a flow chart illustrating another example of generation of aprediction image.

Inter predictor 126 determines a motion vector of a current block (StepSn_1). Next, inter predictor 126 generates a prediction image (StepSn_2), and determines whether to perform a correction process (StepSn_3). Here, when determining to perform a correction process (Yes inStep Sn_3), inter predictor 126 generates the final prediction image bycorrecting the prediction image (Step Sn_4). When determining not toperform a correction process (No in Step Sn_3), inter predictor 126outputs the prediction image as the final prediction image withoutcorrecting the prediction image (Step Sn_5).

In addition, motion compensation involves a mode for correcting aluminance of a prediction image when generating the prediction image.The mode is, for example, LIC to be described later.

FIG. 34 is a flow chart illustrating another example of generation of aprediction image.

Inter predictor 126 derives a motion vector of a current block (StepSo_1). Next, inter predictor 126 determines whether to perform aluminance correction process (Step So_2). Here, when determining toperform a luminance correction process (Yes in Step So_2), interpredictor 126 generates the prediction image while performing aluminance correction process (Step So_3). In other words, the predictionimage is generated using LIC. When determining not to perform aluminance correction process (No in Step So_2), inter predictor 126generates a prediction image by performing normal motion compensationwithout performing a luminance correction process (Step So_4).

[Motion Compensation>OBMC]

It is to be noted that an inter prediction signal may be generated usingmotion information for a neighboring block in addition to motioninformation for the current block obtained from motion estimation. Morespecifically, the inter prediction signal may be generated in units of asub-block in the current block by performing a weighted addition of aprediction signal based on motion information obtained from motionestimation (in the reference picture) and a prediction signal based onmotion information for a neighboring block (in the current picture).Such inter prediction (motion compensation) is also referred to asoverlapped block motion compensation (OBMC).

In OBMC mode, information indicating a sub-block size for OBMC (referredto as, for example, an OBMC block size) may be signaled at the sequencelevel. Moreover, information indicating whether to apply the OBMC mode(referred to as, for example, an OBMC flag) may be signaled at the CUlevel. It is to be noted that the signaling of such information does notnecessarily need to be performed at the sequence level and CU level, andmay be performed at another level (for example, at the picture level,slice level, tile level, CTU level, or sub-block level).

Examples of the OBMC mode will be described in further detail. FIGS. 35and 36 are a flow chart and a conceptual diagram for illustrating anoutline of a prediction image correction process performed by an OBMCprocess.

First, as illustrated in FIG. 36, a prediction image (Pred) is obtainedthrough normal motion compensation using a motion vector (MV) assignedto the processing target (current) block. In FIG. 36, the arrow “MV”points a reference picture, and indicates what the current block of thecurrent picture refers to in order to obtain a prediction image.

Next, a prediction image (Pred_L) is obtained by applying a motionvector (MV_L) which has been already derived for the encoded blockneighboring to the left of the current block to the current block(re-using the motion vector for the current block). The motion vector(MV_L) is indicated by an arrow “MV_L” indicating a reference picturefrom a current block. A first correction of a prediction image isperformed by overlapping two prediction images Pred and Pred_L. Thisprovides an effect of blending the boundary between neighboring blocks.

Likewise, a prediction image (Pred_U) is obtained by applying a motionvector (MV_U) which has been already derived for the encoded blockneighboring above the current block to the current block (re-using themotion vector for the current block). The motion vector (MV_U) isindicated by an arrow “MV_U” indicating a reference picture from acurrent block. A second correction of a prediction image is performed byoverlapping the prediction image Pred_U to the prediction images (forexample, Pred and Pred_L) on which the first correction has beenperformed. This provides an effect of blending the boundary betweenneighboring blocks. The prediction image obtained by the secondcorrection is the one in which the boundary between the neighboringblocks has been blended (smoothed), and thus is the final predictionimage of the current block.

Although the above example is a two-path correction method using leftand upper neighboring blocks, it is to be noted that the correctionmethod may be three- or more-path correction method using also the rightneighboring block and/or the lower neighboring block.

It is to be noted that the region in which such overlapping is performedmay be only part of a region near a block boundary instead of the pixelregion of the entire block.

It is to be noted that the prediction image correction process accordingto OBMC for obtaining one prediction image Pred from one referencepicture by overlapping additional prediction image Pred_L and Pred_Uhave been described above. However, when a prediction image is correctedbased on a plurality of reference images, a similar process may beapplied to each of the plurality of reference pictures. In such a case,after corrected prediction images are obtained from the respectivereference pictures by performing OBMC image correction based on theplurality of reference pictures, the obtained corrected predictionimages are further overlapped to obtain the final prediction image.

It is to be noted that, in OBMC, the unit of a current block may be theunit of a prediction block or the unit of a sub-block obtained byfurther splitting the prediction block.

One example of a method for determining whether to apply an OBMC processis a method for using an obmc_flag which is a signal indicating whetherto apply an OBMC process. As one specific example, an encoder determineswhether the current block belongs to a region having complicated motion.The encoder sets the obmc_flag to a value of “1” when the block belongsto a region having complicated motion and applies an OBMC process whenencoding, and sets the obmc_flag to a value of “0” when the block doesnot belong to a region having complicated motion and encodes the blockwithout applying an OBMC process. The decoder switches betweenapplication and non-application of an OBMC process by decoding theobmc_flag written in the stream (for example, a compressed sequence) anddecoding the block by switching between the application andnon-application of the OBMC process in accordance with the flag value.

Inter predictor 126 generates one rectangular prediction image for arectangular current block in the above example. However, inter predictor126 may generate a plurality of prediction images each having a shapedifferent from a rectangle for the rectangular current block, and maycombine the plurality of prediction images to generate the finalrectangular prediction image. The shape different from a rectangle maybe, for example, a triangle.

FIG. 37 is a conceptual diagram for illustrating generation of twotriangular prediction images.

Inter predictor 126 generates a triangular prediction image byperforming motion compensation of a first partition having a triangularshape in a current block by using a first MV of the first partition, togenerate a triangular prediction image. Likewise, inter predictor 126generates a triangular prediction image by performing motioncompensation of a second partition having a triangular shape in acurrent block by using a second MV of the second partition, to generatea triangular prediction image. Inter predictor 126 then generates aprediction image having the same rectangular shape as the rectangularshape of the current block by combining these prediction images.

It is to be noted that, although the first partition and the secondpartition are triangles in the example illustrated in FIG. 37, the firstpartition and the second partition may be trapezoids, or other shapesdifferent from each other. Furthermore, although the current blockincludes two partitions in the example illustrated in FIG. 37, thecurrent block may include three or more partitions.

In addition, the first partition and the second partition may overlapwith each other. In other words, the first partition and the secondpartition may include the same pixel region. In this case, a predictionimage for a current block may be generated using a prediction image inthe first partition and a prediction image in the second partition.

In addition, although an example in which a prediction image isgenerated for each of two partitions using inter prediction, aprediction image may be generated for at least one partition using intraprediction.

[Motion Compensation>BIO]

Next, a method for deriving a motion vector is described. First, a modefor deriving a motion vector based on a model assuming uniform linearmotion will be described. This mode is also referred to as abi-directional optical flow (BIO) mode.

FIG. 38 is a conceptual diagram for illustrating a model assuminguniform linear motion. In FIG. 38, (vx, vy) indicates a velocity vector,and τ0 and τ1 indicate temporal distances between a current picture (CurPic) and two reference pictures (Ref0, Ref1). (MVx0, MVy0) indicatemotion vectors corresponding to reference picture Ref0, and (MVx1, MVy1)indicate motion vectors corresponding to reference picture Ref1.

Here, under the assumption of uniform linear motion exhibited byvelocity vectors (vx, vy), (MVx0, MVy0) and (MVx1, MVy1) are representedas (vxτ0, vyτ0) and (−vxτ1, −vyτ1), respectively, and the followingoptical flow equation (2) may be employed.

[Math. 3]

∂I ^((k)) /∂t+v _(x) ∂I ^((k)) /∂x+v _(y) ∂I ^((k)) /∂y=0.   (2)

Here, I^((k)) indicates a motion-compensated luma value of referencepicture k (k=0, 1). This optical flow equation shows that the sum of (i)the time derivative of the luma value, (ii) the product of thehorizontal velocity and the horizontal component of the spatial gradientof a reference image, and (iii) the product of the vertical velocity andthe vertical component of the spatial gradient of a reference image isequal to zero. A motion vector of each block obtained from, for example,a merge list may be corrected in units of a pixel, based on acombination of the optical flow equation and Hermite interpolation.

It is to be noted that a motion vector may be derived on the decoderside using a method other than deriving a motion vector based on a modelassuming uniform linear motion. For example, a motion vector may bederived in units of a sub-block based on motion vectors of neighboringblocks.

[Motion Compensation>LIC]

Next, an example of a mode in which a prediction image (prediction) isgenerated by using a local illumination compensation (LIC) process willbe described.

FIG. 39 is a conceptual diagram for illustrating one example of aprediction image generation method using a luminance correction processperformed by a LIC process.

First, an MV is derived from an encoded reference picture, and areference image corresponding to the current block is obtained.

Next, information indicating how the luma value changed between thereference picture and the current picture is extracted for the currentblock. This extraction is performed based on the luma pixel values forthe encoded left neighboring reference region (surrounding referenceregion) and the encoded upper neighboring reference region (surroundingreference region), and the luma pixel value at the correspondingposition in the reference picture specified by the derived MV. Aluminance correction parameter is calculated by using the informationindicating how the luma value changed.

The prediction image for the current block is generated by performing aluminance correction process in which the luminance correction parameteris applied to the reference image in the reference picture specified bythe MV.

It is to be noted that the shape of the surrounding reference regionillustrated in FIG. 39 is just one example; the surrounding referenceregion may have a different shape.

Moreover, although the process in which a prediction image is generatedfrom a single reference picture has been described here, cases in whicha prediction image is generated from a plurality of reference picturescan be described in the same manner. The prediction image may begenerated after performing a luminance correction process of thereference images obtained from the reference pictures in the same manneras described above.

One example of a method for determining whether to apply a LIC processis a method for using a lic_flag which is a signal indicating whether toapply the LIC process. As one specific example, the encoder determineswhether the current block belongs to a region having a luminance change.The encoder sets the lic_flag to a value of “1” when the block belongsto a region having a luminance change and applies a LIC process whenencoding, and sets the lic_flag to a value of “0” when the block doesnot belong to a region having a luminance change and encodes the currentblock without applying a LIC process. The decoder may decode thelic_flag written in the stream and decode the current block by switchingbetween application and non-application of a LIC process in accordancewith the flag value.

One example of a different method of determining whether to apply a LICprocess is a determining method in accordance with whether a LIC processwas applied to a surrounding block. In one specific example, when themerge mode is used on the current block, whether a LIC process wasapplied in the encoding of the surrounding encoded block selected uponderiving the MV in the merge mode process is determined. According tothe result, encoding is performed by switching between application andnon-application of a LIC process. It is to be noted that, also in thisexample, the same processes are applied in processes at the decoderside.

An embodiment of the luminance correction (LIC) process described withreference to FIG. 39 is described in detail below.

First, inter predictor 126 derives a motion vector for obtaining areference image corresponding to a current block to be encoded from areference picture which is an encoded picture.

Next, inter predictor 126 extracts information indicating how the lumavalue of the reference picture has been changed to the luma value of thecurrent picture, using the luma pixel value of an encoded surroundingreference region which neighbors to the left of or above the currentblock and the luma value in the corresponding position in the referencepicture specified by a motion vector, and calculates a luminancecorrection parameter. For example, it is assumed that the luma pixelvalue of a given pixel in the surrounding reference region in thecurrent picture is p0, and that the luma pixel value of the pixelcorresponding to the given pixel in the surrounding reference region inthe reference picture is p1. Inter predictor 126 calculates coefficientsA and B for optimizing A×p1+B=p0 as the luminance correction parameterfor a plurality of pixels in the surrounding reference region.

Next, inter predictor 126 performs a luminance correction process usingthe luminance correction parameter for the reference image in thereference picture specified by the motion vector, to generate aprediction image for the current block. For example, it is assumed thatthe luma pixel value in the reference image is p2, and that theluminance-corrected luma pixel value of the prediction image is p3.Inter predictor 126 generates the prediction image after being subjectedto the luminance correction process by calculating A×p2+B=p3 for each ofthe pixels in the reference image.

It is to be noted that the shape of the surrounding reference regionillustrated in FIG. 39 is one example; a different shape other than theshape of the surrounding reference region may be used. In addition, partof the surrounding reference region illustrated in FIG. 39 may be used.For example, a region having a determined number of pixels extractedfrom each of an upper neighboring pixel and a left neighboring pixel maybe used as a surrounding reference region. The determined number ofpixels may be predetermined. For example, a region having a determinednumber of pixels extracted from each of an upper neighboring pixel and aleft neighboring pixel may be used as a surrounding reference region.The determined number of pixels may be predetermined. In addition, thesurrounding reference region is not limited to a region which neighborsthe current block, and may be a region which does not neighbor thecurrent block. In the example illustrated in FIG. 39, the surroundingreference region in the reference picture is a region specified by amotion vector in a current picture, from a surrounding reference regionin the current picture. However, a region specified by another motionvector is also possible. For example, the other motion vector may be amotion vector in a surrounding reference region in the current picture.

Although operations performed by encoder 100 have been described here,it is to be noted that decoder 200 typically performs similaroperations.

It is to be noted that the LIC process may be applied not only to theluma but also to chroma. At this time, a correction parameter may bederived individually for each of Y, Cb, and Cr, or a common correctionparameter may be used for any of Y, Cb, and Cr.

In addition, the LIC process may be applied in units of a sub-block. Forexample, a correction parameter may be derived using a surroundingreference region in a current sub-block and a surrounding referenceregion in a reference sub-block in a reference picture specified by anMV of the current sub -block.

[Prediction Controller]

Inter predictor 128 selects one of an intra prediction signal (a signaloutput from intra predictor 124) and an inter prediction signal (asignal output from inter predictor 126), and outputs the selected signalto subtractor 104 and adder 116 as a prediction signal.

As illustrated in FIG. 1, in various kinds of encoder examples,prediction controller 128 may output a prediction parameter which isinput to entropy encoder 110. Entropy encoder 110 may generate anencoded bitstream (or a sequence), based on the prediction parameterwhich is input from prediction controller 128 and quantized coefficientswhich are input from quantizer 108. The prediction parameter may be usedin a decoder. The decoder may receive and decode the encoded bitstream,and perform the same processes as the prediction processes performed byintra predictor 124, inter predictor 126, and prediction controller 128.The prediction parameter may include (i) a selection prediction signal(for example, a motion vector, a prediction type, or a prediction modeused by intra predictor 124 or inter predictor 126), or (ii) an optionalindex, a flag, or a value which is based on a prediction processperformed in each of intra predictor 124, inter predictor 126, andprediction controller 128, or which indicates the prediction process.

[Mounting Example of Encoder]

FIG. 40 is a block diagram illustrating a mounting example of encoder100. Encoder 100 includes processor a1 and memory a2. For example, theplurality of constituent elements of encoder 100 illustrated in FIG. 1are mounted on processor a1 and memory a2 illustrated in FIG. 40.

Processor a1 is circuitry which performs information processing and isaccessible to memory a2. For example, processor a1 is dedicated orgeneral electronic circuitry which encodes a video. Processor a1 may bea processor such as a CPU. In addition, processor a1 may be an aggregateof a plurality of electronic circuits. In addition, for example,processor a1 may take the roles of two or more constituent elements outof the plurality of constituent elements of encoder 100 illustrated inFIG. 1, etc.

Memory a2 is dedicated or general memory for storing information that isused by processor a1 to encode a video. Memory a2 may be electroniccircuitry, and may be connected to processor a1. In addition, memory a2may be included in processor a1. In addition, memory a2 may be anaggregate of a plurality of electronic circuits. In addition, memory a2may be a magnetic disc, an optical disc, or the like, or may berepresented as a storage, a recording medium, or the like. In addition,memory a2 may be non-volatile memory, or volatile memory.

For example, memory a2 may store a video to be encoded or a bitstreamcorresponding to an encoded video. In addition, memory a2 may store aprogram for causing processor a1 to encode a video.

In addition, for example, memory a2 may take the roles of two or moreconstituent elements for storing information out of the plurality ofconstituent elements of encoder 100 illustrated in FIG. 1, etc. Forexample, memory a2 may take the roles of block memory 118 and framememory 122 illustrated in FIG. 1. More specifically, memory a2 may storea reconstructed block, a reconstructed picture, etc.

It is to be noted that, in encoder 100, all of the plurality ofconstituent elements indicated in FIG. 1, etc. may not be implemented,and all the processes described above may not be performed. Part of theconstituent elements indicated in FIG. 1, etc. may be included inanother device, or part of the processes described above may beperformed by another device.

[Decoder]

Next, a decoder capable of decoding an encoded signal (encodedbitstream) output, for example, from encoder 100 described above will bedescribed. FIG. 41 is a block diagram illustrating a functionalconfiguration of decoder 200 according to an embodiment. Decoder 200 isa video decoder which decodes a video in units of a block.

As illustrated in FIG. 41, decoder 200 includes entropy decoder 202,inverse quantizer 204, inverse transformer 206, adder 208, block memory210, loop filter 212, frame memory 214, intra predictor 216, interpredictor 218, and prediction controller 220.

Decoder 200 is implemented as, for example, a generic processor andmemory. In this case, when a software program stored in the memory isexecuted by the processor, the processor functions as entropy decoder202, inverse quantizer 204, inverse transformer 206, adder 208, loopfilter 212, intra predictor 216, inter predictor 218, and predictioncontroller 220. Alternatively, decoder 200 may be implemented as one ormore dedicated electronic circuits corresponding to entropy decoder 202,inverse quantizer 204, inverse transformer 206, adder 208, loop filter212, intra predictor 216, inter predictor 218, and prediction controller220.

Hereinafter, an overall flow of processes performed by decoder 200 isdescribed, and then each of constituent elements included in decoder 200will be described.

[Overall Flow of Decoding Process]

FIG. 42 is a flow chart illustrating one example of an overall decodingprocess performed by decoder 200.

First, entropy decoder 202 of decoder 200 identifies a splitting patternof a block having a fixed size (for example, 128×128 pixels) (StepSp_1). This splitting pattern is a splitting pattern selected by encoder100. Decoder 200 then performs processes of Step Sp_2 to Sp_6 for eachof a plurality of blocks of the splitting pattern.

In other words, entropy decoder 202 decodes (specifically,entropy-decodes) encoded quantized coefficients and a predictionparameter of a current block to be decoded (also referred to as acurrent block) (Step Sp_2).

Next, inverse quantizer 204 performs inverse quantization of theplurality of quantized coefficients and inverse transformer 206 performsinverse transform of the result, to restore a plurality of predictionresiduals (that is, a difference block) (Step Sp_3).

Next, the prediction processor including all or part of intra predictor216, inter predictor 218, and prediction controller 220 generates aprediction signal (also referred to as a prediction block) of thecurrent block (Step Sp_4).

Next, adder 208 adds the prediction block to the difference block togenerate a reconstructed image (also referred to as a decoded imageblock) of the current block (Step Sp_5).

When the reconstructed image is generated, loop filter 212 performsfiltering of the reconstructed image (Step Sp_6).

Decoder 200 then determines whether decoding of the entire picture hasbeen finished (Step Sp_7). When determining that the decoding has notyet been finished (No in Step Sp_7), decoder 200 repeatedly executes theprocesses starting with Step Sp_1.

As illustrated, the processes of Steps Sp_1 to Sp_7 are performedsequentially by decoder 200. Alternatively, two or more of the processesmay be performed in parallel, the processing order of the two or more ofthe processes may be modified, etc.

[Entropy Decoder]

Entropy decoder 202 entropy decodes an encoded bitstream. Morespecifically, for example, entropy decoder 202 arithmetic decodes anencoded bitstream into a binary signal. Entropy decoder 202 thendebinarizes the binary signal. With this, entropy decoder 202 outputsquantized coefficients of each block to inverse quantizer 204. Entropydecoder 202 may output a prediction parameter included in an encodedbitstream (see FIG. 1) to intra predictor 216, inter predictor 218, andprediction controller 220. Intra predictor 216, inter predictor 218, andprediction controller 220 in an embodiment are capable of executing thesame prediction processes as those performed by intra predictor 124,inter predictor 126, and prediction controller 128 at the encoder side.

[Inverse Quantizer]

Inverse quantizer 204 inverse quantizes quantized coefficients of ablock to be decoded (hereinafter referred to as a current block) whichare inputs from entropy decoder 202. More specifically, inversequantizer 204 inverse quantizes quantized coefficients of the currentblock, based on quantization parameters corresponding to the quantizedcoefficients. Inverse quantizer 204 then outputs the inverse quantizedtransform coefficients of the current block to inverse transformer 206.

[Inverse Transformer]

Inverse transformer 206 restores prediction errors by inversetransforming the transform coefficients which are inputs from inversequantizer 204.

For example, when information parsed from an encoded bitstream indicatesthat EMT or AMT is to be applied (for example, when an AMT flag istrue), inverse transformer 206 inverse transforms the transformcoefficients of the current block based on information indicating theparsed transform type.

Moreover, for example, when information parsed from an encoded bitstreamindicates that NSST is to be applied, inverse transformer 206 applies asecondary inverse transform to the transform coefficients.

[Adder]

Adder 208 reconstructs the current block by adding prediction errorswhich are inputs from inverse transformer 206 and prediction sampleswhich are inputs from prediction controller 220. Adder 208 then outputsthe reconstructed block to block memory 210 and loop filter 212.

[Block Memory]

Block memory 210 is storage for storing blocks in a picture to bedecoded (hereinafter referred to as a current picture) and to bereferred to in intra prediction. More specifically, block memory 210stores reconstructed blocks output from adder 208.

[Loop Filter]

Loop filter 212 applies a loop filter to blocks reconstructed by adder208, and outputs the filtered reconstructed blocks to frame memory 214,display device, etc.

When information indicating ON or OFF of an ALF parsed from an encodedbitstream indicates that an ALF is ON, one filter from among a pluralityof filters is selected based on direction and activity of localgradients, and the selected filter is applied to the reconstructedblock.

[Frame Memory]

Frame memory 214 is, for example, storage for storing reference picturesfor use in inter prediction, and is also referred to as a frame buffer.More specifically, frame memory 214 stores a reconstructed blockfiltered by loop filter 212.

[Prediction Processor (Intra Predictor, Inter Predictor, PredictionController)]

FIG. 43 is a flow chart illustrating one example of a process performedby a prediction processor of decoder 200. It is to be noted that theprediction processor includes all or part of the following constituentelements: intra predictor 216; inter predictor 218; and predictioncontroller 220.

The prediction processor generates a prediction image of a current block(Step Sq_1). This prediction image is also referred to as a predictionsignal or a prediction block. It is to be noted that the predictionsignal is, for example, an intra prediction signal or an interprediction signal. Specifically, the prediction processor generates theprediction image of the current block using a reconstructed image whichhas been already obtained through generation of a prediction block,generation of a difference block, generation of a coefficient block,restoring of a difference block, and generation of a decoded imageblock.

The reconstructed image may be, for example, an image in a referencepicture, or an image of a decoded block in a current picture which isthe picture including the current block. The decoded block in thecurrent picture is, for example, a neighboring block of the currentblock.

FIG. 44 is a flow chart illustrating another example of a processperformed by the prediction processor of decoder 200.

The prediction processor determines either a method or a mode forgenerating a prediction image (Step Sr_1). For example, the method ormode may be determined based on, for example, a prediction parameter,etc.

When determining a first method as a mode for generating a predictionimage, the prediction processor generates a prediction image accordingto the first method (Step Sr_2 a). When determining a second method as amode for generating a prediction image, the prediction processorgenerates a prediction image according to the second method (Step Sr_2b). When determining a third method as a mode for generating aprediction image, the prediction processor generates a prediction imageaccording to the third method (Step Sr_2 c).

The first method, the second method, and the third method may bemutually different methods for generating a prediction image. Each ofthe first to third methods may be an inter prediction method, an intraprediction method, or another prediction method. The above-describedreconstructed image may be used in these prediction methods.

[Intra Predictor]

Intra predictor 216 generates a prediction signal (intra predictionsignal) by performing intra prediction by referring to a block or blocksin the current picture stored in block memory 210, based on the intraprediction mode parsed from the encoded bitstream. More specifically,intra predictor 216 generates an intra prediction signal by performingintra prediction by referring to samples (for example, luma and/orchroma values) of a block or blocks neighboring the current block, andthen outputs the intra prediction signal to prediction controller 220.

It is to be noted that when an intra prediction mode in which a lumablock is referred to in intra prediction of a chroma block is selected,intra predictor 216 may predict the chroma component of the currentblock based on the luma component of the current block.

Moreover, when information parsed from an encoded bitstream indicatesthat PDPC is to be applied, intra predictor 216 corrects intra-predictedpixel values based on horizontal/vertical reference pixel gradients.

[Inter Predictor]

Inter predictor 218 predicts the current block by referring to areference picture stored in frame memory 214. Inter prediction isperformed in units of a current block or a sub-block (for example, a 4×4block) in the current block. For example, inter predictor 218 generatesan inter prediction signal of the current block or the sub-block byperforming motion compensation by using motion information (for example,a motion vector) parsed from an encoded bitstream (for example, aprediction parameter output from entropy decoder 202), and outputs theinter prediction signal to prediction controller 220.

It is to be noted that when the information parsed from the encodedbitstream indicates that the OBMC mode is to be applied, inter predictor218 generates the inter prediction signal using motion information of aneighboring block in addition to motion information of the current blockobtained from motion estimation.

Moreover, when the information parsed from the encoded bitstreamindicates that the FRUC mode is to be applied, inter predictor 218derives motion information by performing motion estimation in accordancewith the pattern matching method (bilateral matching or templatematching) parsed from the encoded bitstream. Inter predictor 218 thenperforms motion compensation (prediction) using the derived motioninformation.

Moreover, when the BIO mode is to be applied, inter predictor 218derives a motion vector based on a model assuming uniform linear motion.Moreover, when the information parsed from the encoded bitstreamindicates that the affine motion compensation prediction mode is to beapplied, inter predictor 218 derives a motion vector of each sub-blockbased on motion vectors of neighboring blocks.

[MV Derivation>Normal Inter Mode]

When information parsed from an encoded bitstream indicates that thenormal inter mode is to be applied, inter predictor 218 derives an MVbased on the information parsed from the encoded bitstream and performsmotion compensation (prediction) using the MV.

FIG. 45 is a flow chart illustrating an example of inter prediction innormal inter mode in decoder 200.

Inter predictor 218 of decoder 200 performs motion compensation for eachblock. Inter predictor 218 obtains a plurality of MV candidates for acurrent block based on information such as MVs of a plurality of decodedblocks temporally or spatially surrounding the current block (StepSs_1). In other words, inter predictor 218 generates an MV candidatelist.

Next, inter predictor 218 extracts N (an integer of 2 or larger) MVcandidates from the plurality of MV candidates obtained in Step Ss_1, asmotion vector predictor candidates (also referred to as MV predictorcandidates) according to a determined priority order (Step Ss_2). It isto be noted that the priority order may be determined in advance foreach of the N MV predictor candidates.

Next, inter predictor 218 decodes motion vector predictor selectioninformation from an input stream (that is, an encoded bitstream), andselects, one MV predictor candidate from the N MV predictor candidatesusing the decoded motion vector predictor selection information, as amotion vector (also referred to as an MV predictor) of the current block(Step Ss_3).

Next, inter predictor 218 decodes an MV difference from the inputstream, and derives an MV for a current block by adding a differencevalue which is the decoded MV difference and a selected motion vectorpredictor (Step Ss_4).

Lastly, inter predictor 218 generates a prediction image for the currentblock by performing motion compensation of the current block using thederived MV and the decoded reference picture (Step Ss_5).

[Prediction Controller]

Prediction controller 220 selects either the intra prediction signal orthe inter prediction signal, and outputs the selected prediction signalto adder 208. As a whole, the configurations, functions, and processesof prediction controller 220, intra predictor 216, and inter predictor218 at the decoder side may correspond to the configurations, functions,and processes of prediction controller 128, intra predictor 124, andinter predictor 126 at the encoder side.

[Mounting Example of Decoder]

FIG. 46 is a block diagram illustrating a mounting example of decoder200. Decoder 200 includes processor b1 and memory b2. For example, theplurality of constituent elements of decoder 200 illustrated in FIG. 41are mounted on processor b1 and memory b2 illustrated in FIG. 46.

Processor b1 is circuitry which performs information processing and isaccessible to memory b2. For example, processor b1 is dedicated orgeneral electronic circuitry which decodes a video (that is, an encodedbitstream). Processor b1 may be a processor such as a CPU. In addition,processor b1 may be an aggregate of a plurality of electronic circuits.In addition, for example, processor b1 may take the roles of two or moreconstituent elements out of the plurality of constituent elements ofdecoder 200 illustrated in FIG. 41, etc.

Memory b2 is dedicated or general memory for storing information that isused by processor b1 to decode an encoded bitstream. Memory b2 may beelectronic circuitry, and may be connected to processor M. In addition,memory b2 may be included in processor b1. In addition, memory b2 may bean aggregate of a plurality of electronic circuits. In addition, memoryb2 may be a magnetic disc, an optical disc, or the like, or may berepresented as a storage, a recording medium, or the like. In addition,memory b2 may be a non-volatile memory, or a volatile memory.

For example, memory b2 may store a video or a bitstream. In addition,memory b2 may store a program for causing processor b1 to decode anencoded bitstream.

In addition, for example, memory b2 may take the roles of two or moreconstituent elements for storing information out of the plurality ofconstituent elements of decoder 200 illustrated in FIG. 41, etc.Specifically, memory b2 may take the roles of block memory 210 and framememory 214 illustrated in FIG. 41. More specifically, memory b2 maystore a reconstructed block, a reconstructed picture, etc.

It is to be noted that, in decoder 200, all of the plurality ofconstituent elements illustrated in FIG. 41, etc. may not beimplemented, and all the processes described above may not be performed.Part of the constituent elements indicated in FIG. 41, etc. may beincluded in another device, or part of the processes described above maybe performed by another device.

[Definitions of Terms]

The respective terms may be defined as indicated below as examples.

A picture is an array of luma samples in monochrome format or an arrayof luma samples and two corresponding arrays of chroma samples in 4:2:0,4:2:2, and 4:4:4 color format. A picture may be either a frame or afield.

A frame is the composition of a top field and a bottom field, wheresample rows 0, 2, 4, . . . originate from the top field and sample rows1, 3, 5, . . . originate from the bottom field.

A slice is an integer number of coding tree units contained in oneindependent slice segment and all subsequent dependent slice segments(if any) that precede the next independent slice segment (if any) withinthe same access unit.

A tile is a rectangular region of coding tree blocks within a particulartile column and a particular tile row in a picture. A tile may be arectangular region of the frame that is intended to be able to bedecoded and encoded independently, although loop-filtering across tileedges may still be applied.

A block is an M×N (M-column by N-row) array of samples, or an M×N arrayof transform coefficients. A block may be a square or rectangular regionof pixels including one Luma and two Chroma matrices.

A coding tree unit (CTU) may be a coding tree block of luma samples of apicture that has three sample arrays, or two corresponding coding treeblocks of chroma samples. Alternatively, a CTU may be a coding treeblock of samples of one of a monochrome picture and a picture that iscoded using three separate color planes and syntax structures used tocode the samples.

A super block may be a square block of 64×64 pixels that consists ofeither 1 or 2 mode info blocks or is recursively partitioned into four32×32 blocks, which themselves can be further partitioned.

[First Aspect of Inter Prediction Process]

Hereinafter, encoder 100 and decoder 200 perform an inter predictionprocess using a motion vector derivation process that derives a motionvector obtained by extending a base motion vector. It should be notedthat this technique is referred to as ultimate motion vector expression(UMVE), but may be also sometimes referred to as merge mode motionvector difference (MMVD).

Moreover, in what follows, the motion vector derivation process isperformed using a selection process that selects whether to use one ofindexes of one of tables. Although operations performed by decoder 200will be described as a representative below, encoder 100 performs thesame operations.

In the first aspect of the present embodiment, the selection process isperformed using not a flag but information of a decoded block.

FIG. 47 is a diagram illustrating a delta motion vector for use in aninter prediction process according to Embodiment 1.

In the example illustrated in FIG. 47, a base motion vector is assumedto be at the origin point of the X axis and the Y axis. Moreover, in theexample illustrated in FIG. 47, the first direction or the seconddirection is a direction (oblique direction) obtained by tilting the XYaxis direction at a 45-degree angle. Here, the first direction and thesecond direction are orthogonal.

A delta motion vector is located along one of the positive and negativedirections of the first direction or the second direction, and isrepresented as a vector that is located at a position indicated by acircle relative to the origin, and has a size (distance). It should benoted that a base motion vector is, for example, one MV predictorselected from an MV predictor list in a merge mode.

In the present aspect, inter predictor 218 assumes that the firstdirection is a positive X-axis direction, and obtains the size(distance) of a delta motion vector from one table among tables. Here,the tables include tables including indexes, and each of the tablesincludes values having varying differences between the indexes. Interpredictor 218 can obtain the delta motion vector by selecting one indexin one table among the tables. Then, inter predictor 218 performs theinter prediction process using the obtained delta motion vector and abase motion vector. It should be noted that since a delta motion vectorcan be obtained by performing a selection process that, for example,selects one table and one index in the selected table, hereinafter, thisselection process may be referred to as a motion vector selectionprocess.

FIG. 48 is a flow chart illustrating a motion vector selection processin the inter prediction process performed by inter predictor 218 ofdecoder 200 according to the first aspect of Embodiment 1. FIG. 49illustrates an example of list 1 including tables for use in the motionvector selection process according to the first aspect of Embodiment 1.

First, as illustrated in FIG. 48, inter predictor 218 of decoder 200selects a first table to be used for a current partition to be decoded,from among tables (S1001). Here, the current partition to be decoded isalso referred to as a current partition. The current partition may beinterpreted as a current block. The tables are used to correct a basemotion vector to a delta motion vector in a predetermined directionusing a correction value specified by an index. In addition, the tablesinclude correction values having varying differences between indexes.FIG. 49 illustrates an example of list 1 including four tablesdistinguished by table indexes 0 to 3. The four tables included in list1 vary in differences (magnitudes) between column values, that is,magnitude values. In the example illustrated in FIG. 49, a row indicatedby one of table indexes 0 to 3 is equivalent to a first table, and oneof the column values in the first table is equivalent to a correctionvalue. Since this correction value is used to derive a delta motionvector from a base motion vector, the correction value can be alsoreferred to as motion vector information.

Next, inter predictor 218 parses a parameter indicating a first indexthat specifies motion vector information to be selected from amongpieces of motion vector information included in the first table selectedin step S1001 (S1002). In the example illustrated in FIG. 49, though notshown, the first index is an index specifying the location of a columnvalue (magnitude value) in the first table, and this index is indicatedby a parameter such as a magnitude parameter illustrated in FIG. 47.

Then, by parsing the parameter in step S1002, inter predictor 218decodes the current partition to be decoded, that is, generates aprediction signal of the current partition to be decoded, using at leastthe selected motion vector information (S1003). More specifically, byparsing the parameter in step S1002, inter predictor 218 decodes thecurrent partition to be decoded, using the delta motion vector obtainedfrom the selected motion vector information and the base motion vector.It should be noted that, as mentioned above, the motion vectorinformation selected in step S1001 may be a value indicating, forexample, the size of a delta motion vector. Further, the parameterparsed in step S1002 may include a size parameter and a directionparameter indicating a delta motion vector originating from a basemotion vector as illustrated in FIG. 47.

Hereinafter, specific examples of step S1001, that is, a process ofselecting the first table from among the tables will be described. Thereare variations of this process.

In what follows, specific examples of the process performed in the interprediction process in the merge mode will be described. It should benoted that the specific examples described below may be performed in theinter prediction process in a mode other than the merge mode.

FIRST EXAMPLE

The first example describes a process of selecting the first table fromamong tables based on a motion vector predictor selected from asurrounding block of a current block to be decoded. The motion vectorpredictor is an example of a base motion vector. When a value of themotion vector predictor is large, inter predictor 218 selects, as thefirst table, a table that can specify the location of a large columnvalue (magnitude value) with a small index, from among the tables. Inthe first example, inter predictor 218 selects the first table for eachpartition (block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values. In the exampleillustrated in FIG. 49, inter predictor 218 determines four ranges forselecting one of the four tables (table indexes 0 to 3).

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the value of the motionvector predictor, that is, the sum of the component values of the motionvector predictor, and the ranges determined in the first step. In theexample illustrated in FIG. 48, since the components of the motionvector predictor, which is the base motion vector, include horizontalvalue mv_x and vertical value mv_y, the sum of the component values ofthe motion vector predictor can be expressed as |mv_x|+|mv_y|.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=32, T2=64, and T3=128. In thiscase, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables. Moreover, when the motion vector predictor for use in thesecond step is, for example, [−14, 41], inter predictor 218 cancalculate the value of the motion vector predictor, that is, the sum ofthe component values of the motion vector predictor as |−14|+|41|=55. Inthis case, in the second step, since the sum of the component values ofthe motion vector predictor is included in the range of (T1, T2], interpredictor 218 can select, as the first table, table index 1 indicating atable corresponding to the range indicated by (T1, T2].

SECOND EXAMPLE

The second example describes a process of selecting the first table fromamong tables based on values of motion vector differences assigned tosurrounding blocks of a current block to be decoded. Hereinafter, amotion vector difference assigned to a surrounding block is referred toas a surrounding motion vector difference. When the values of thesurrounding motion vector differences are large, inter predictor 218selects, as the first table, a table that can specify the location of alarge column value (magnitude value) with a small index, from among thetables. In the second example, inter predictor 218 also selects thefirst table for each partition (block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on an average value of thevalues of the surrounding motion vector differences, and the rangesdetermined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=32, T2=64, and T3=128. In thiscase also, in the first step, inter predictor 218 can determine (0, T1],(T1, T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one ofthe four tables.

Moreover, when the values of the surrounding motion vector differencefor use in the second step are, for example, [−21, 14], [−3, 0], [102,40], [120, 5], and [100, 18], inter predictor 218 can calculate theaverage value of the values of the surrounding motion vector differencesas |−21|+|14|+|−3|+|0|+|102|+|40|+|120|+|5|+|100|+|18|=42.

Accordingly, in the second step, since the average value of the valuesof the surrounding motion vector differences is included in the range of(T1, T2], inter predictor 218 can select, as the first table, tableindex 1 indicating a table corresponding to the range indicated by (T1,T2].

It should be noted that although inter predictor 218 selects the firsttable from among the tables based on the average value of the values ofthe surrounding motion vector differences in the second example, thepresent embodiment is not limited to this. Inter predictor 218 mayselect the first table from among the tables based on a variance valueof the values of the surrounding motion vector differences.

Moreover, in the second example, when the surrounding blocks of thecurrent block to be decoded are blocks subjected to a prediction processusing the merge mode, the second step may be performed using 0 as thevalues of the surrounding motion vector differences.

THIRD EXAMPLE

The third example describes a process of selecting the first table fromamong tables based on values of motion vectors assigned to surroundingblocks of a current block to be decoded.

Hereinafter, a motion vector assigned to a surrounding block is referredto as a surrounding motion vector. When the values of the surroundingmotion vectors are large, inter predictor 218 selects, as the firsttable, a table that can specify the location of a large column value(magnitude value) with a small index, from among the tables. In thethird example, inter predictor 218 also selects the first table for eachpartition (block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on an average value of thevalues of the surrounding motion vectors, and the determined ranges.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=32, T2=64, and T3=128. In thiscase also, in the first step, inter predictor 218 can determine (0, T1],(T1, T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one ofthe four tables.

Moreover, when the values of the surrounding motion vectors for use inthe second step are, for example, [−21, 14], [−3, 0], [102, 40], [120,5], and [100, 18], inter predictor 218 can calculate the average valueof the values of the surrounding motion vectors as|−21|+|14|+|−3|+|0|+|102|+|40|+|120|+|5|+|100|+|18|=42.

Accordingly, in the second step, since the average value of the valuesof the surrounding motion vectors is included in the range of (T1, T2],inter predictor 218 can select, as the first table, table index 1indicating a table corresponding to the range indicated by (T1, T2].

It should be noted that although inter predictor 218 selects the firsttable from among the tables based on the average value of the values ofthe surrounding motion vectors in the second example, the presentembodiment is not limited to this. Inter predictor 218 may select thefirst table from among the tables based on a variance value of thevalues of the surrounding motion vectors.

FOURTH EXAMPLE

The fourth example describes a process of selecting the first table fromamong tables based on values in a list of motion vector predictorcandidates derived from a motion vector of a decoded block neighboring acurrent block to be decoded. Hereinafter, the list of the motion vectorpredictor candidates is referred to as a motion vector predictorcandidate list.

When the values in the motion vector predictor candidate list are large,inter predictor 218 selects, as the first table, a table that canspecify the location of a large column value (magnitude value) with asmall index, from among the tables. In the fourth example, interpredictor 218 also selects the first table for each partition (block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on an average value of thevalues in the motion vector predictor candidate list, and the rangesdetermined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=32, T2=64, and T3=128. In thiscase also, in the first step, inter predictor 218 can determine (0, T1],(T1, T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one ofthe four tables.

Moreover, when the values in the motion vector predictor candidate listfor use in the second step are, for example, [−21, 14], [−3, 0], [102,40], [120, 5], and [100, 18], inter predictor 218 can calculate theaverage value of the values in the motion vector predictor candidatelist as |−21|+|14|+|−3|+|0|+|102|+|40|+|120|+|5|+|100|+|18|=42.

Accordingly, in the second step, since the average value of the valuesin the motion vector predictor candidate list is included in the rangeof (T1, T2], inter predictor 218 can select, as the first table, tableindex 1 indicating a table corresponding to the range indicated by (T1,T2].

It should be noted that although inter predictor 218 selects the firsttable from among the tables based on the average value of the values inthe motion vector predictor candidate list in the fourth example, thepresent embodiment is not limited to this. Inter predictor 218 mayselect the first table from among the tables based on a variance valueof the values in the motion vector predictor candidate list.

FIFTH EXAMPLE

The fifth example describes a process of selecting the first table fromamong tables based on the size of a current partition (block) to bedecoded. Hereinafter, the current partition (block) to be decoded isreferred to as a current partition. When the size of the currentpartition is large, inter predictor 218 selects, as the first table, atable that can specify the location of a large column value (magnitudevalue) with a small index, from among the tables. In the fifth examplealso, inter predictor 218 selects the first table for each partition(block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the size (magnitude) of thecurrent partition and the ranges determined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=3×3, T2=16×16, and T3=32×32. Inthis case also, in the first step, inter predictor 218 can determine (0,T1], (T1, T2], (T2, T3], and (T3, +∞] as the four ranges for selectingone of the four tables.

The size (magnitude) of the current partition for use in the second stepis assumed to be, for example, 16×8. In this case, in the second step,since the size (magnitude) of the current partition is included in therange of (T1, T2), inter predictor 218 can select, as the first table,table index 1 indicating a table corresponding to the range indicated by(T1, T2).

SIXTH EXAMPLE

The sixth example describes a process of selecting the first table fromamong tables based on the resolution of a picture including a currentpartition (block) to be decoded. The resolution of the picture can bealso expressed as the number of pixels included in the picture.Hereinafter, the picture including the current partition (block) to bedecoded is referred to as a picture including a current block. When theresolution of the picture including the current block is high, interpredictor 218 selects, as the first table, a table that can specify thelocation of a large column value (magnitude value) with a small index,from among the tables. In the sixth example, inter predictor 218 selectsthe first table for each picture.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the resolution of the pictureincluding the current block, and the ranges determined in the firststep.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=832×580, T2=1920×1080, andT3=3840×2160. In this case also, in the first step, inter predictor 218can determine (0, T1], (T1, T2], (T2, T3], and (T3, +∞) as the fourranges for selecting one of the four tables.

The resolution of the picture including the current block for use in thesecond step is assumed to be, for example, 416×240. In this case, in thesecond step, since the resolution of the picture including the currentblock is included in the range of (0, T1], inter predictor 218 canselect, as the first table, table index 0 indicating a tablecorresponding to the range indicated by (0, T1].

It should be noted that the resolution of the picture including thecurrent block can be obtained from a syntax (data string representationrules) included in an encoded bitstream obtained by decoder 200.

SEVENTH EXAMPLE

The seventh example describes a process of selecting the first tablefrom among tables based on the temporal ID of a slice or pictureincluding a current partition (block) to be decoded. Here, the temporalID is a number indicating the level of a temporal layer for spatialscalable encoding. The spatial scalable encoding is a technique forencoding information hierarchically (for each layer) from coarseinformation to fine information. The spatial scalable encoding isachieved by dividing information into hierarchical layers as temporallayers and encoding the hierarchical layers. In the example illustratedin FIG. 57 or FIG. 58, a picture is encoded for each layer, andscalability is achieved in the enhancement layer higher than the baselayer. In this case, a temporal ID can take a value of 0 to 2. It shouldbe noted that a slice may be encoded for each layer, and scalability maybe achieved in an enhancement layer higher than a base layer.Hereinafter, the slice or picture including the current partition(block) to be decoded is referred to as a current slice or a currentpicture.

When the value of the temporal ID of the current slice or the currentpicture is large, inter predictor 218 selects, as the first table, atable that can specify the location of a large column value (magnitudevalue) with a small index, from among the tables. In the seventhexample, inter predictor 218 selects the first table for each slice orpicture.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the value of the temporal IDof the current slice or the current picture, and the ranges determinedin the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=1, T2=2, and T3=3. In this casealso, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

The value of the temporal ID of the current slice or the current picturefor use in the second step is assumed to be, for example, two. In thiscase, in the second step, since the value of the temporal ID of thecurrent slice or the current picture is included in the range of (T1,T2], inter predictor 218 can select, as the first table, table index 1indicating a table corresponding to the range indicated by (T1, T2].

EIGHTH EXAMPLE

The eighth example describes a process of selecting the first table fromamong tables based on a distance between a picture including a currentpartition (block) to be decoded and a reference picture of the currentpartition (block) to be decoded. Hereinafter, the picture including thecurrent partition (block) to be decoded is referred to as a currentpicture, and the current partition (block) to be decoded is referred toas a current partition. When the distance between the current pictureand the reference picture of the current partition is large, interpredictor 218 selects, as the first table, a table that can specify thelocation of a large column value (magnitude value) with a small index,from among the tables. In the eighth example, inter predictor 218selects the first table for each partition (block).

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the distance between thecurrent picture and the reference picture of the current partition, andthe ranges determined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=1, T2=2, and T3=3. In this casealso, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

The POC (display order) of the current picture for use in the secondstep is assumed to be 16, and the POC of the reference picture isassumed to be 0. In this case, in the second step, since the distancebetween the current picture and the reference picture of the currentpartition is 16 and included in the range of (T3, +∞), inter predictor218 can select, as the first table, table index 3 indicating a tablecorresponding to the range indicated by (T3, +∞).

NINTH EXAMPLE

It should be noted that a process of selecting the first table fromamong tables may be performed based on a combination of the methodsdescribed in the first example to the eighth example.

FIG. 50 illustrates an example of list 2 including tables for use in themotion vector selection process according to the first aspect ofEmbodiment 1. Specifically, FIG. 50 illustrates an example of list 2including seven tables distinguished by table indexes 0 to 7. The seventables included in list 2 vary in differences (magnitudes) betweencolumn values, that is, magnitude values. In the example illustrated inFIG. 50, a row indicated by one of table indexes 0 to 7 is equivalent tothe first table, and one of the column values in the first table isequivalent to a correction value.

The following describes, as an example, a process of selecting the firsttable from among the tables illustrated in FIG. 50, based on acombination of the first example and the fifth example. In other words,the ninth example describes the process of selecting the first tablefrom among the tables based on both the motion vector predictor selectedfrom the neighboring block of the current block, and the size of thecurrent partition.

When the size of the current partition is large, and the value of themotion vector predictor is large, inter predictor 218 selects, as thefirst table, a table that can specify the location of a large columnvalue (magnitude value) with a small index, from among the tables.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of dividing the tables included in list 2 into two setseach including tables, that is, determining a set including part of thetables included in list 2 as the first set, and a set including the restof the tables as the second set. For example, inter predictor 218determines, among table indexes 0 to 7 included in list 2 illustrated inFIG. 50, table indexes 0 to 3 as the first set, and table indexes 4 to 7as the second set.

Next, inter predictor 218 performs the second step of determining rangesfor selecting the first set or the second set, based on the first listof predetermined threshold values.

Then, inter predictor 218 performs the third step of selecting the firstset or the second set based on the value of the motion vector predictorand the ranges determined in the second step.

After that, inter predictor 218 performs the fourth step of determiningranges for selecting one of the tables included in the first set or thesecond set selected in the third step, based on the second list ofpredetermined threshold values.

Finally, inter predictor 218 performs the fifth step of selecting thefirst table from among the tables included in the first set or thesecond set selected in the third step, based on the size of the currentpartition and the ranges determined in the fourth step.

Here, a predetermined threshold value included in the first list for usein the second step is a threshold value (T₂₁) for distinguishing thefirst set including table indexes 0 to 3 and the second set includingtable indexes 4 to 7 illustrated in FIG. 50, for example, T₂₁=32. Inthis case, in the second step, inter predictor 218 can determine [0,T₂₁] and [T₂₁, +∞] as two ranges for selecting the first set or thesecond set.

Moreover, when the motion vector predictor for use in the third step is,for example, [−14, 41], inter predictor 218 can calculate the value ofthe motion vector predictor, that is, the sum of the component values ofthe motion vector predictor as |−14|+|41|=55. In this case, in the thirdstep, since the sum of the component values of the motion vectorpredictor is included in the range of (T₂₁, +∞), inter predictor 218 canselect the second set corresponding to the range indicated by (T₂₁, +∞).

Furthermore, the predetermined threshold values included in the secondlist for use in the fourth step are three threshold values (T₄₁ to T₄₃)for distinguishing the four tables included in the second set indicatedby table indexes 4 to 7 illustrated in FIG. 50, for example, T₄₁=8×8,T₄₂=16×16, and T₄₃=32×32. In this case also, in the fourth step, interpredictor 218 can determine (0, T₄₁], (T₄₁, T₄₂], (T₄₂, T₄₃], and (T₄₃,+∞) as the four ranges for selecting one of the four tables.

Moreover, when the size of the current partition for use in the fifthstep is assumed to be, for example, 16×8, the size of the currentpartition is included in the range of (T₄₁, T₄₂]. In this case, in thefifth step, inter predictor 218 can select, as the first table, thesecond table in the second set indicating a table corresponding to therange indicated by (T₄₁, T₄₂], that is, table index 5.

TENTH EXAMPLE

The tenth example describes a process of selecting the first table fromamong tables based on an average value of motion vector differences of adecoded picture. When the average value of the motion vector differencesof the decoded picture is large, inter predictor 218 selects, as thefirst table, a table that can specify the location of a large columnvalue (magnitude value) with a small index, from among the tables. Inthe tenth example, inter predictor 218 selects the first table for eachpicture.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the average value of themotion vector differences of the decoded picture, and the rangesdetermined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=32, T2=64, and T3=128. In thiscase, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

Moreover, when the motion vector differences of the decoded picture foruse in the second step is assumed to be, for example, [100, 18], interpredictor 218 can calculate the average value of the motion vectordifferences of the decoded picture as |100|+|18|=118.

Accordingly, in the second step, since the average value of the motionvector differences of the decoded picture is included in the range of(T2, T3], inter predictor 218 can select, as the first table, tableindex 2 indicating a table corresponding to the range indicated by (T2,T3].

It should be noted that although inter predictor 218 selects the firsttable from among the tables based on the average value of the motionvector differences of the decoded picture in the tenth example, thepresent embodiment is not limited to this. Inter predictor 218 mayselect the first table from among the tables based on a value of amotion vector of the decoded picture.

Moreover, although inter predictor 218 selects the first table fromamong the tables based on the average value of the motion vectordifferences of the decoded picture in the tenth example, the presentembodiment is not limited to this. Inter predictor 218 may select thefirst table from among the tables based on a variance value of themotion vector differences of the decoded picture.

Furthermore, the decoded picture may be a picture of a layer indicatingthe same temporal ID as a current picture, or may be a pictureimmediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

ELEVENTH EXAMPLE

The eleventh example describes a process of selecting the first tablefrom among tables based on the number of generated motion vectordifferences of a decoded picture. In the eleventh example, interpredictor 218 selects the first table for each picture.

More specifically, in step S1001, first, inter predictor performs thefirst step of counting the number of generated motion vector differenceshaving at least a certain size. It should be noted that the number ofgenerated motion vector differences may be counted while thinning outmotion vector differences having a size exceeding a threshold value, ormay be a ratio of motion vector differences having at least a certainsize.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the counted number of thegenerated motion vector differences of the decoded picture. Here, amotion vector difference with higher occurrence is put in the front ofeach of the tables.

It should be noted that although inter predictor 218 selects the firsttable from among the tables based on the number of the generated motionvector differences of the decoded picture in the eleventh example, thepresent embodiment is not limited to this. Inter predictor 218 mayselect the first table from among the tables based on the number ofgenerated values of motion vectors of the decoded picture.

Moreover, inter predictor 218 may derive one or more motion vectordifferences of the decoded picture from a UMVE parameter.

Furthermore, the decoded picture may be a picture of a layer indicatingthe same temporal ID as a current picture, or may be a pictureimmediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

TWELFTH EXAMPLE

The twelfth example describes a process of selecting the first tablefrom among tables based on an average value of block sizes of a decodedpicture. When the average value of the block sizes of the decodedpicture is large, inter predictor 218 selects, as the first table, atable that can specify the location of a large column value (magnitudevalue) with a small index, from among the tables. In the twelfthexample, inter predictor 218 selects the first table for each picture.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the average value of theblock sizes of the decoded picture, and the ranges determined in thefirst step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=8×8, T2=16×16, and T3=32×32. Inthis case also, in the first step, inter predictor 218 can determine (0,T1], (T1, T2], (T2, T3], and (T3, +∞] as the four ranges for selectingone of the four tables.

Moreover, when an average value of results obtained by multiplyinghorizontal block sizes and vertical block sizes of the decoded picturefor use in the second step is assumed to be, for example, 128, theaverage value of the block sizes of the decoded picture is included inthe range of (T1, T2). In this case, in the second step, inter predictor218 can select, as the first table, table index 1 indicating a tablecorresponding to the range indicated by (T1, T2).

It should be noted that the decoded picture may be a picture of a layerindicating the same temporal ID as a current picture, or may be apicture immediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

THIRTEENTH EXAMPLE

The thirteenth example describes a process of selecting the first tablefrom among tables based on an average value of quantization parameters(QPs) of a decoded picture. When the average value of the QPs of thedecoded picture is large, inter predictor 218 selects, as the firsttable, a table that can specify the location of a large column value(magnitude value) with a small index, from among the tables. In thethirteenth example, inter predictor 218 selects the first table for eachpicture.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the average value of the QPsof the decoded picture, and the ranges determined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=22, T2=27, and T3=32. In thiscase, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

Moreover, the average value of the QPs of the decoded picture for use inthe second step is assumed to be, for example, 40. In this case, in thesecond step, since the average value of the QPs of the decoded pictureis included in the range of (T3, +∞), inter predictor 218 can select, asthe first table, table index 3 indicating a table corresponding to therange indicated by (T3, +∞).

It should be noted that the decoded picture may be a picture of a layerindicating the same temporal ID as a current picture, or may be apicture immediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

FOURTEENTH EXAMPLE

The fourteenth example describes a process of selecting the first tablefrom among tables based on a slice QP of a decoded picture. When theslice QP of the decoded picture is large, inter predictor 218 selects,as the first table, a table that can specify the location of a largecolumn value (magnitude value) with a small index, from among thetables. In the fourteenth example, inter predictor 218 selects the firsttable for each picture or slice.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the QP slice of the decodedpicture, and the ranges determined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=22, T2=27, and T3=32. In thiscase, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

Moreover, the slice QP of the decoded picture for use in the second stepis assumed to be, for example, 40. In this case, in the second step,since the slice QP of the decoded picture is included in the range of(T3, +∞), inter predictor 218 can select, as the first table, tableindex 3 indicating a table corresponding to the range indicated by (T3,+∞).

It should be noted that the decoded picture may be a picture of a layerindicating the same temporal ID as a current picture, or may be apicture immediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

FIFTEENTH EXAMPLE

The fifteenth example describes a process of selecting the first tablefrom among tables based on a slice QP of a picture including a currentpartition (block) to be decoded. Hereinafter, the picture including thecurrent partition (block) to be decoded is referred to as a currentpicture. When the slice QP of the current picture is large, interpredictor 218 selects, as the first table, a table that can specify thelocation of a large column value (magnitude value) with a small index,from among the tables. In the fifteenth example also, inter predictor218 selects the first table for each picture or slice.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of determining ranges for selecting one of the tables,based on a list of predetermined threshold values.

Next, inter predictor 218 performs the second step of selecting thefirst table from among the tables based on the slice QP slice of thecurrent picture and the ranges determined in the first step.

Here, the predetermined threshold values for use in the first step arethree threshold values (T1 to T3) for distinguishing the four tablesillustrated in FIG. 49, for example, T1=22, T2=27, and T3=32. In thiscase, in the first step, inter predictor 218 can determine (0, T1], (T1,T2], (T2, T3], and (T3, +∞) as the four ranges for selecting one of thefour tables.

Moreover, the slice QP of the current picture for use in the second stepis assumed to be, for example, 40. In this case, in the second step,since the slice QP of the current picture is included in the range of(T3, +∞), inter predictor 218 can select, as the first table, tableindex 3 indicating a table corresponding to the range indicated by (T3,+∞).

SIXTEENTH EXAMPLE

It should be noted that a process of selecting the first table fromamong tables may be performed based on a combination of the methodsdescribed in the tenth example to the fifteenth example.

The following describes, as an example, a process of selecting the firsttable from among the tables illustrated in FIG. 50, based on acombination of the tenth example and the fifteenth example. In otherwords, the sixteenth example describes the process of selecting thefirst table from among the tables based on both the average value of themotion vector differences of the decoded picture and the slice QP of thecurrent picture.

When the slice QP of the current picture is large, and the average valueof the motion vector differences of the decoded picture is large, interpredictor 218 selects, as the first table, a table that can specify thelocation of a large column value (magnitude value) with a small index,from among the tables.

More specifically, in step S1001, first, inter predictor 218 performsthe first step of dividing the tables included in list 2 into two setseach including tables, that is, determining a set including part of thetables included in list 2 as the first set, and a set including the restof the tables as the second set. For example, inter predictor 218determines, among table indexes 0 to 7 included in list 2 illustrated inFIG. 50, table indexes 0 to 3 as the first set, and table indexes 4 to 7as the second set.

Next, inter predictor 218 performs the second step of determining rangesfor selecting the first set or the second set, based on the first listof predetermined threshold values.

Then, inter predictor 218 perform the third step of selecting the firstset or the second set based on the slice QP of the current picture andthe ranges determined in the second step.

After that, inter predictor 218 performs the fourth step of determiningranges for selecting one of the tables included in the first set or thesecond set selected in the third step, based on the second list ofpredetermined threshold values.

Finally, inter predictor 218 performs the fifth step of selecting thefirst table from among the tables included in the first set or thesecond set selected in the third step, based on the average value of themotion vector differences of the decoded picture, and the rangesdetermined in the fourth step.

Here, a predetermined threshold value included in the first list for usein the second step is a threshold value (T₂₁) for distinguishing thefirst set including table indexes 0 to 3 and the second set includingtable indexes 4 to 7 illustrated in FIG. 50, for example, T₂₁=30. Inthis case, in the second step, inter predictor 218 can determine (0,T₂₁] and (T₂₁, +∞) as two ranges for selecting the first set or thesecond set. Moreover, the slice QP of the current picture for use in thethird step is assumed to be, for example, 40. In this case, in the thirdstep, since the sum of the component values of the motion vectorpredictor is included in the range of (T₂₁, +∞), inter predictor 218 canselect the second set corresponding to the range indicated by (T₂₁, +∞).

Furthermore, the predetermined threshold values included in the secondlist for use in the fourth step are three threshold values (T₄₁ to T₄₃)for distinguishing the four tables included in the second set indicatedby table indexes 4 to 7 illustrated in FIG. 50, for example, T₄₁=32,T₄₂=64, and T₄₃=128. In this case, in the fourth step, inter predictor218 can determine (0, T₄₁], (T₄₁, T₄₂], (T₄₂, T₄₃], and (T₄₃, +∞) as thefour ranges for selecting one of the four tables.

Moreover, when the average value of the motion vector differences of thedecoded picture for use in the fifth step is assumed to be, for example,[100, 18], inter predictor 218 can calculate the average value of themotion vector differences of the decoded picture as |100|+|18|=118.Accordingly, the average value of the motion vector differences of thedecoded picture is included in the range of (T₄₂, T₄₃]. In this case, inthe fifth step, inter predictor 218 can select, as the first table, thethird table in the second set indicating a table corresponding to therange indicated by (T₄₂, T₄₃], that is, table index 6.

It should be noted that the decoded picture may be a picture of a layerindicating the same temporal ID as a current picture, or may be apicture immediately preceding the current picture in decoding order.

Moreover, the decoded picture may be replaced with a CTU located in aposition corresponding to a current partition (current block).

It should be noted that although the first aspect has described theexample in which the four tables illustrated in FIG. 49 are used, thepresent embodiment is not limited to this. A configuration having two ormore tables will do. For example, a configuration may be used that hastwo tables indicated by table index 0 and table index 2 illustrated inFIG. 49. In this case, instead of determining the four ranges using thethree threshold values in the first example to the sixteenth example,two ranges using one threshold value may be determined.

[Advantageous Effects of First Aspect]

According to the first aspect, using the motion vector derivationprocess in the inter prediction process of the present disclosure makesit possible to perform motion compensation using a motion vector moreaccurate than a base motion vector in the inter prediction process.Accordingly, it is possible to improve the coding efficiency in theinter prediction process.

Moreover, according to the first aspect, the motion vector selectionprocess as indicated in the first example to the sixteenth exampledescribed above is used in the motion vector derivation process. Withthis, when the motion vector more accurate than the base motion vectoris used, it is possible to specify the more accurate motion vector usingan index having a smaller value (less information) in the first tableselected from among the tables. In other words, according to the firstaspect, there is a possibility that using the motion vector selectionprocess in the motion vector derivation process improves the codingperformance of the inter prediction process.

It should be noted that at least part of the disclosure in the firstaspect can be combined with at least part of disclosure of one or moreof other aspects.

Furthermore, part of the process, part of the device, the syntax, and/orother functions disclosed in the description of the flow chartillustrated in FIG. 48 can be combined with the other aspects.

Moreover, all the processes/elements disclosed in the first aspect arenot essential. The device/method may include part of theprocesses/elements. In addition, the above-described processes may beperformed by a decoder in the same manner as an encoder.

[Second Aspect of Inter Prediction Process]

In the second aspect of the present embodiment also, encoder 100 anddecoder 200 perform a motion vector derivation process to be used whenan inter prediction process is performed, using a selection process thatselects whether to use one of indexes of one of tables. Althoughoperations performed by decoder 200 will be described as arepresentative below, encoder 100 performs the same operations.

The second aspect of the present embodiment provides a description ofperforming the selection process using a flag (parameter). The followingmainly describes differences from the first aspect.

FIG. 51 is a flow chart illustrating a motion vector selection processin the inter prediction process performed by inter predictor 218 ofdecoder 200 according to the second aspect of Embodiment 1.

First, as illustrated in FIG. 51, inter predictor 218 of decoder 200parses the first parameter indicating the first index that specifies,among tables, a table for decoding a current partition to be decoded(S2001). In other words, inter predictor 218 selects the first table tobe used for the current partition by parsing the first parameter. Thefirst parameter indicates the first index that can specify the firsttable. It should be noted that the first index is not essential, and thefirst parameter may directly specify the first table to be used for thecurrent partition. Moreover, as described above, each table includestables including indexes, and each of the tables includes values (columnvalues) having varying differences between the indexes. In other words,in each table, a smaller value among the values (column values) isassigned a smaller index, and each table includes a different minimumvalue among the values.

For example, inter predictor 218 selects the first table to be used forthe current partition from among the four tables included in list 1illustrated in FIG. 49, by parsing the first parameter.

Next, inter predictor 218 parses the second parameter indicating thesecond index that specifies motion vector information to be selectedfrom among pieces of motion vector information (S2002). In other words,inter predictor 218 can obtain, from the first table, the second indexindicating the motion vector information to be selected, by parsing thesecond parameter. It should be noted that the second index is notessential, and the second parameter may indicate a column valueindicating motion vector information to be selected.

For example, inter predictor 218 obtains the second index indicating(specifying) the location of a column value (magnitude value) in thefirst table included in list 1 illustrated in FIG. 49, by parsing thesecond parameter.

Next, inter predictor 218 decodes the current partition to be decoded,that is, generates a prediction signal of the current partition to bedecoded, using at least the motion vector information specified by thesecond index (S2003).

It should be noted that the above-described motion vector information,that is, motion vector information to be used for decoding a currentpartition to be decoded is the sum of the motion vector informationspecified by the second index and a base motion vector derived frommotion vector predictor candidates in the merge mode.

It should be noted that the above-described motion vector informationmay be information about a delta motion vector, and the motion vectorinformation specified by the second index may be a value (magnitudevalue) indicating, for example, the size of the delta motion vector.

Here, as with the sixth example of the first aspect, for example, thefirst parameter parsed in step S2001 is determined to specify the firsttable to be selected from among the tables, based on the resolution of apicture including a current block. In other words, content such as thefirst index that specifies the first table to be selected from among thetables is written in the first parameter parsed in step S2001, based onthe resolution of the picture including the current block. As with thetenth example of the first aspect, for example, the first parameterparsed in step S2001 may be determined to specify the first table to beselected from among the tables, based on an average value of motionvector differences of a decoded picture. It should be noted that amethod of determining the first parameter parsed in step S2001 is notlimited to the first example and the tenth example. Stated differently,the first parameter parsed in step S2001 may be determined to specifythe first table to be selected from among the tables, based on thecriteria indicated in the first example to the sixteenth example of thefirst aspect.

The first parameter parsed in step S2001, and the second parameterparsed in step S2002, may be written in a header in units of a slice.The first parameter and the second parameter are not limited to beingwritten in the header in the units of the slice, and may be written in aheader in units of a picture, units of a sequence, or units of a block.In addition, out of the first parameter and the second parameter, atleast the first parameter may be a parameter at a CTU level, or may be aparameter at a partition level.

Moreover, in step S2003, when the motion vector information specified bythe second index is greater than a predetermined value, a predictionsignal of a current partition to be decoded may be generated using, asthe motion vector information specified by the second index, motionvector information having an integer-pixel value obtained by correctingthe motion vector information specified by the second index.

Here, the case in which the motion vector information is greater thanthe predetermined value is equivalent to a case in which, assumingmotion vector information is expressed by an x value and a y value, theabsolute value of an x value or a y value is greater than apredetermined value.

For example, it is assumed that a predetermined value is 16, motionvector information has [64, 0], a base motion vector has [13, 0], andboth the motion vector information and the basis motion vector have aquarter pixel.

In this case, motion vector information to be used for decoding acurrent partition to be decoded has the sum of [77, 0].

Since the motion vector information is greater than 16, thepredetermined value, the motion vector information can be corrected tohave [63, 0] so that motion vector to be used for decoding a currentpartition to be decoded has, for example, [76, 0], an integer-pixelvalue that is a multiple of 4. Consequently, the motion vectorinformation to be used for decoding the current partition to be decodedhas [76, 0] that is the sum of the above motion vector information andbase motion vector.

It should be noted that a such a process in step S2003 may be applied tostep S1003 in the first aspect.

It should be noted that in the example illustrated in FIG. 49, the firstparameter is a vertical value indicated by a table index, and isincremented by 1 from 0 in ascending order of values along the verticaldirection of the figure. As with the first parameter, the secondparameter, though not shown, is incremented by 1 from 0 in ascendingorder of values along the horizontal direction of the figure.

It should be noted that although the second aspect has described theexample in which the four tables illustrated in FIG. 49 are used, thepresent embodiment is not limited to this. A configuration having two ormore tables will do. For example, a configuration may be used that hastwo tables indicated by table index 0 and table index 2 illustrated inFIG. 49. In this case, the first parameter having a binary valuespecifying one table out of two tables may be used instead of the firstparameter having a quaternary value specifying one table from among fourtables.

[Advantageous Effects of Second Aspect]

According to the second aspect, using the motion vector derivationprocess in the inter prediction process of the present disclosure makesit possible to perform motion compensation using a motion vector moreaccurate than a base motion vector in the inter prediction process.Accordingly, it is possible to improve the coding efficiency in theinter prediction process.

Moreover, according to the second aspect, the motion vector selectionprocess performed using a parameter determined based on the criteriaindicated in the first example to the sixteenth example described aboveis used in the motion vector derivation process. With this, when themotion vector more accurate than the base motion vector is used, it ispossible to specify the more accurate motion vector using an indexhaving a smaller value (less information) in the first table selectedfrom among the tables. In other words, according to the second aspect,there is a possibility that using the motion vector selection process inthe motion vector derivation process improves the coding performance ofthe inter prediction process.

Moreover, according to the second aspect, when the motion vectorinformation is greater than the predetermined value, the motion vectorinformation may be rounded to be an integer-pixel value, and the currentpartition may be decoded. Accordingly, there is a possibility that theamount of processing in the inter prediction process is reduced.

It should be noted that at least part of the disclosure in the secondaspect can be combined with at least part of disclosure of one or moreof other aspects.

Furthermore, part of the process, part of the device, the syntax, and/orother functions disclosed in the description of the flow chartillustrated in FIG. 51 can be combined with the other aspects.

Moreover, all the processes/elements disclosed in the second aspect arenot essential. The device/method may include part of theprocesses/elements. In addition, the above-described processes may beperformed by a decoder in the same manner as an encoder.

[Implementation Example of Encoder]

FIG. 52 is a block diagram illustrating an implementation example ofencoder 100 according to Embodiment 1. Encoder 100 includes circuitry160 and memory 162. For example, the plurality of constituent elementsof encoder 100 illustrated in FIG. 1 are implemented by circuitry 160and memory 162 illustrated in FIG. 52.

Circuitry 160 is a circuit that performs information processing and isaccessible to memory 162. For example, circuitry 160 is an exclusive orgeneral electronic circuit that encodes a video. Circuitry 160 may be aprocessor such as a CPU. Alternatively, circuitry 160 may be anaggregation of a plurality of electronic circuits. Moreover, forexample, circuitry 160 may perform the functions of constituent elementsof encoder 100 illustrated in FIG. 1 etc., except the constituentelements that store information.

Memory 162 is an exclusive or general memory that stores informationused by circuitry 160 to encode a video. Memory 162 may be an electroniccircuit, may be connected to circuitry 160, or may be included incircuitry 160. Alternatively, memory 162 may be an aggregation of aplurality of electronic circuits. Memory 162 may be a magnetic disk oran optical disc etc., or may be expressed as storage or a recordingmedium etc. Further, memory 162 may be a non-volatile memory or avolatile memory.

For example, memory 162 may store a video to be encoded, or may store abitstream corresponding to an encoded video. In addition, memory 162 maystore a program for causing circuitry 160 to encode a video.

Moreover, for example, memory 162 may perform the functions of, amongthe plurality of constituent elements of encoder 100 illustrated in FIG.1 etc., the constituent elements that store information. Specifically,memory 162 may perform the functions of block memory 118 and framememory 122 illustrated in FIG. 1. More specifically, memory 162 maystore, for example, a reconstructed block and a reconstructed picture.

It should be noted that no all of the plurality of constituent elementsillustrated in FIG. 1 etc. need to be implemented by encoder 100, andnot all of the processes described above need to be performed by encoder100. Some of the plurality of constituent elements illustrated in FIG. 1etc. may be included in another device, and some of the processesdescribed above may be performed by another device. The predictionprocess in the inter prediction mode is efficiently performed by encoder100 implementing some of the plurality of constituent elementsillustrated in FIG. 1 etc. and performing some of the processesdescribed above.

The following describes an example of operations performed by encoder100 illustrated in FIG. 52. FIG. 53 is a flow chart illustrating anexample of operations performed by encoder 100 illustrated in FIG. 52.For example, encoder 100 illustrated in FIG. 52 performs the operationsillustrated in FIG. 53 when encoding a video.

Specifically, circuitry 160 of encoder 100, in operation, performs thefollowing processes. First, circuitry 160 corrects a base motion vectorusing a correction value for correcting the base motion vector in apredetermined direction (S311). Next, circuitry 160 encodes a currentpartition to be encoded in an image of a video, using the base motionvector corrected in step S311 (S312).

With this, encoder 100 can improve the coding performance of the interprediction process by using, in the motion vector derivation process,the motion vector selection process that corrects the base motion vectorto the more accurate motion vector and uses the more accurate motionvector, when the motion vector derivation process is used in the interprediction process. More specifically, when encoder 100 corrects a basemotion vector a more accurate motion vector, and uses the more accuratemotion vector, encoder 100 can correct the base motion vector to themore accurate motion vector using a correction value specified by anindex having a smaller value (less information) in a first table to beselected from among tables. Accordingly, encoder 100 can improve thecoding efficiency.

[Implementation Example of Decoder]

FIG. 54 is a block diagram illustrating an implementation example ofdecoder 200 according to Embodiment 1. Decoder 200 includes circuitry260 and memory 262. For example, the plurality of constituent elementsof decoder 200 illustrated in FIG. 41 are implemented by circuitry 260and memory 262 illustrated in FIG. 54.

Circuitry 260 is a circuit that performs information processing and isaccessible to memory 262. For example, circuitry 260 is an exclusive orgeneral electronic circuit that decodes a video. Circuitry 260 may be aprocessor such as a CPU. Alternatively, circuitry 260 may be anaggregation of a plurality of electronic circuits. Moreover, forexample, circuitry 260 may perform the functions of constituent elementsof decoder 200 illustrated in FIG. 41 etc., except the constituentelements that store information.

Memory 262 is an exclusive or general memory that stores informationused by circuitry 260 to decode a video. Memory 262 may be an electroniccircuit, may be connected to circuitry 260, or may be included incircuitry 260. Alternatively, memory 262 may be an aggregation of aplurality of electronic circuits. Memory 262 may be a magnetic disk oran optical disc etc., or may be expressed as storage or a recordingmedium etc. Further, memory 262 may be a non-volatile memory or avolatile memory.

For example, memory 262 may store a bitstream corresponding to anencoded video, or may store a video corresponding to a decodedbitstream. In addition, memory 262 may store a program for causingcircuitry 260 to decode a video.

Moreover, for example, memory 262 may perform the functions of, amongthe plurality of constituent elements of decoder 200 illustrated in FIG.41 etc., the constituent elements that store information. Specifically,memory 262 may perform the functions of block memory 210 and framememory 214 illustrated in FIG. 41. More specifically, memory 262 maystore, for example, a reconstructed block and a reconstructed picture.

It should be noted that no all of the plurality of constituent elementsillustrated in FIG. 41 etc. need to be implemented by decoder 200, andnot all of the processes described above need to be performed by decoder200. Some of the plurality of constituent elements illustrated in FIG.41 etc. may be included in another device, and some of the processesdescribed above may be performed by another device. The motioncompensation is efficiently performed by decoder 200 implementing someof the plurality of constituent elements illustrated in FIG. 41 etc. andperforming some of the processes described above.

The following describes an example of operations performed by decoder200 illustrated in FIG. 54. FIG. 55 is a flow chart illustrating anexample of operations performed by decoder 200 illustrated in FIG. 54.For example, decoder 200 illustrated in FIG. 54 performs the operationsillustrated in FIG. 55 when decoding a video.

Specifically, circuitry 260 of decoder 200, in operation, performs thefollowing processes. First, circuitry 260 corrects a base motion vectorusing a correction value for correcting the base motion vector in apredetermined direction (S411). Next, circuitry 260 decodes a currentpartition to be decoded in an image of a video, using the base motionvector corrected in step S411 (S412).

With this, decoder 200 can improve the coding performance of the interprediction process by using, in the motion vector derivation process,the motion vector selection process that corrects the base motion vectorto the more accurate motion vector and uses the more accurate motionvector, when the motion vector derivation process is used in the interprediction process. More specifically, when decoder 200 corrects a basemotion vector a more accurate motion vector, and uses the more accuratemotion vector, decoder 200 can correct the base motion vector to themore accurate motion vector using a correction value specified by anindex having a smaller value (less information) in a first table to beselected from among tables. Accordingly, decoder 200 can improve thecoding efficiency.

[Supplemental Information]

Encoder 100 and decoder 200 according to the present embodiment may beused as an image encoder and an image decoder, or may be used as a videoencoder and a video decoder. Alternatively, encoder 100 and decoder 200may be each used as an inter prediction device (inter frame predictiondevice).

In other words, encoder 100 and decoder 200 may correspond to only interpredictor (inter frame predictor) 126 and inter predictor (inter framepredictor) 218, respectively. The other constituent elements such astransformer 106 and inverse transformer 206 may be included in anotherdevice.

In the present embodiment, each of the constituent elements may beconfigured in the form of an exclusive hardware product, or may beimplemented by executing a software program suitable for the constituentelement. Each of the constituent elements may be implemented by means ofa program execution unit, such as a CPU or a processor, reading andexecuting a software program recorded on a recording medium such as ahard disk or a semiconductor memory.

Specifically, encoder 100 and decoder 200 may each include processingcircuitry and storage electrically connected to the processing circuitryand accessible from the processing circuitry. For example, theprocessing circuitry is equivalent to circuitry 160 or 260, and thestorage is equivalent to memory 162 or 262.

The processing circuitry includes at least one of an exclusive hardwareproduct or a program execution unit, and performs processing using thestorage. When the processing circuitry includes a program executionunit, the storage stores a software program executed by the programexecution unit.

Here, the software for implementing, for example, encoder 100 or decoder200 according to the present embodiment includes a program as indicatedbelow.

Specifically, the program may cause a computer to execute an encodingmethod of encoding a video, the encoding method including: correcting abase motion vector using a correction value for correcting the basemotion vector in a predetermined direction; and encoding a currentpartition to be encoded in an image of the video, using the base motionvector corrected. The correction value is specified by a first parameterand a second parameter, the first parameter indicating a table to beselected from among a plurality of tables each including values, thesecond parameter indicating one of the values included in the table tobe selected indicated by the first parameter. In each of the pluralityof tables, a smaller value among the values is assigned a smaller index.Each of the plurality of tables includes a different minimum value amongthe values.

Alternatively, the program may cause a computer to execute a decodingmethod of decoding a video, the decoding method including: correcting abase motion vector using a correction value for correcting the basemotion vector in a predetermined direction; and decoding a currentpartition to be decoded in an image of the video, using the base motionvector corrected. The correction value is specified by a first parameterand a second parameter, the first parameter indicating a table to beselected from among a plurality of tables each including values, thesecond parameter indicating one of the values included in the table tobe selected indicated by the first parameter. In each of the pluralityof tables, a smaller value among the values is assigned a smaller index.Each of the plurality of tables includes a different minimum value amongthe values.

The constituent elements may be circuits as described above. Thecircuits may constitute circuitry as a whole, or may be individualcircuits. Each constituent element may be implemented by a generalprocessor, or may be implemented by an exclusive processor.

Moreover, processing executed by a particular constituent element may beexecuted by another constituent element. The processing execution ordermay be modified, or a plurality of processes may be executed inparallel. Furthermore, an encoding and decoding device may includeencoder 100 and decoder 200.

The ordinal numbers such as “first” and “second” used in the descriptionmay be changed as appropriate. A new ordinal number may be given to theconstituent elements etc., or the ordinal numbers of the constituentelements may be removed.

Although some aspects of encoder 100 and decoder 200 have been describedabove based on the embodiment, the aspects of encoder 100 and decoder200 are not limited to this embodiment. Various modifications to thepresent embodiment that are conceivable to those skilled in the art, aswell as embodiments resulting from combinations of constituent elementsin different embodiments, may be included within the scope of theaspects of encoder 100 and decoder 200, so long as they do not departfrom the essence of the present disclosure.

One or more of the aspects disclosed herein may be performed bycombining at least part of the other aspects in the present disclosure.In addition, one or more of the aspects disclosed herein may beperformed by combining, with other aspects, part of the processesindicated in any of the flow charts according to the aspects, part ofthe configuration of any of the devices, part of syntaxes, etc.

Embodiment 2

[Implementations and Applications]

As described in each of the above embodiments, each functional oroperational block may typically be realized as an MPU (micro processingunit) and memory, for example. Moreover, processes performed by each ofthe functional blocks may be realized as a program execution unit, suchas a processor which reads and executes software (a program) recorded ona recording medium such as ROM. The software may be distributed. Thesoftware may be recorded on a variety of recording media such assemiconductor memory. Note that each functional block can also berealized as hardware (dedicated circuit). Various combinations ofhardware and software may be employed.

The processing described in each of the embodiments may be realized viaintegrated processing using a single apparatus (system), and,alternatively, may be realized via decentralized processing using aplurality of apparatuses. Moreover, the processor that executes theabove-described program may be a single processor or a plurality ofprocessors. In other words, integrated processing may be performed, and,alternatively, decentralized processing may be performed.

Embodiments of the present disclosure are not limited to the aboveexemplary embodiments; various modifications may be made to theexemplary embodiments, the results of which are also included within thescope of the embodiments of the present disclosure.

Next, application examples of the moving picture encoding method (imageencoding method) and the moving picture decoding method (image decodingmethod) described in each of the above embodiments will be described, aswell as various systems that implement the application examples. Such asystem may be characterized as including an image encoder that employsthe image encoding method, an image decoder that employs the imagedecoding method, or an image encoder-decoder that includes both theimage encoder and the image decoder. Other configurations of such asystem may be modified on a case-by-case basis.

[Usage Examples]

FIG. 56 illustrates an overall configuration of content providing systemex100 suitable for implementing a content distribution service. The areain which the communication service is provided is divided into cells ofdesired sizes, and base stations ex106, ex107, ex108, ex109, and ex110,which are fixed wireless stations in the illustrated example, arelocated in respective cells.

In content providing system ex100, devices including computer ex111,gaming device ex112, camera ex113, home appliance ex114, and smartphoneex115 are connected to internet ex101 via internet service providerex102 or communications network ex104 and base stations ex106 throughex110. Content providing system ex100 may combine and connect anycombination of the above devices. In various implementations, thedevices may be directly or indirectly connected together via a telephonenetwork or near field communication, rather than via base stations ex106through ex110. Further, streaming server ex103 may be connected todevices including computer ex111, gaming device ex112, camera ex113,home appliance ex114, and smartphone ex115 via, for example, internetex101. Streaming server ex103 may also be connected to, for example, aterminal in a hotspot in airplane ex117 via satellite ex116.

Note that instead of base stations ex106 through ex110, wireless accesspoints or hotspots may be used. Streaming server ex103 may be connectedto communications network ex104 directly instead of via internet ex101or internet service provider ex102, and may be connected to airplaneex117 directly instead of via satellite ex116.

Camera ex113 is a device capable of capturing still images and video,such as a digital camera. Smartphone ex115 is a smartphone device,cellular phone, or personal handy-phone system (PHS) phone that canoperate under the mobile communications system standards of the 2G, 3G,3.9G, and 4G systems, as well as the next-generation 5G system.

Home appliance ex114 is, for example, a refrigerator or a deviceincluded in a home fuel cell cogeneration system.

In content providing system ex100, a terminal including an image and/orvideo capturing function is capable of, for example, live streaming byconnecting to streaming server ex103 via, for example, base stationex106. When live streaming, a terminal (e.g., computer ex111, gamingdevice ex112, camera ex113, home appliance ex114, smartphone ex115, or aterminal in airplane ex117) may perform the encoding processingdescribed in the above embodiments on still-image or video contentcaptured by a user via the terminal, may multiplex video data obtainedvia the encoding and audio data obtained by encoding audio correspondingto the video, and may transmit the obtained data to streaming serverex103. In other words, the terminal functions as the image encoderaccording to one aspect of the present disclosure.

Streaming server ex103 streams transmitted content data to clients thatrequest the stream. Client examples include computer ex111, gamingdevice ex112, camera ex113, home appliance ex114, smartphone ex115, andterminals inside airplane ex117, which are capable of decoding theabove-described encoded data. Devices that receive the streamed data maydecode and reproduce the received data. In other words, the devices mayeach function as the image decoder, according to one aspect of thepresent disclosure.

[Decentralized Processing]

Streaming server ex103 may be realized as a plurality of servers orcomputers between which tasks such as the processing, recording, andstreaming of data are divided. For example, streaming server ex103 maybe realized as a content delivery network (CDN) that streams content viaa network connecting multiple edge servers located throughout the world.In a CDN, an edge server physically near the client may be dynamicallyassigned to the client. Content is cached and streamed to the edgeserver to reduce load times. In the event of, for example, some type oferror or change in connectivity due, for example, to a spike in traffic,it is possible to stream data stably at high speeds, since it ispossible to avoid affected parts of the network by, for example,dividing the processing between a plurality of edge servers, orswitching the streaming duties to a different edge server and continuingstreaming.

Decentralization is not limited to just the division of processing forstreaming; the encoding of the captured data may be divided between andperformed by the terminals, on the server side, or both. In one example,in typical encoding, the processing is performed in two loops. The firstloop is for detecting how complicated the image is on a frame-by-frameor scene-by-scene basis, or detecting the encoding load. The second loopis for processing that maintains image quality and improves encodingefficiency. For example, it is possible to reduce the processing load ofthe terminals and improve the quality and encoding efficiency of thecontent by having the terminals perform the first loop of the encodingand having the server side that received the content perform the secondloop of the encoding. In such a case, upon receipt of a decodingrequest, it is possible for the encoded data resulting from the firstloop performed by one terminal to be received and reproduced on anotherterminal in approximately real time. This makes it possible to realizesmooth, real-time streaming.

In another example, camera ex113 or the like extracts a feature amount(an amount of features or characteristics) from an image, compressesdata related to the feature amount as metadata, and transmits thecompressed metadata to a server. For example, the server determines thesignificance of an object based on the feature amount and changes thequantization accuracy accordingly to perform compression suitable forthe meaning (or content significance) of the image. Feature amount datais particularly effective in improving the precision and efficiency ofmotion vector prediction during the second compression pass performed bythe server. Moreover, encoding that has a relatively low processingload, such as variable length coding (VLC), may be handled by theterminal, and encoding that has a relatively high processing load, suchas context-adaptive binary arithmetic coding (CABAC), may be handled bythe server.

In yet another example, there are instances in which a plurality ofvideos of approximately the same scene are captured by a plurality ofterminals in, for example, a stadium, shopping mall, or factory. In sucha case, for example, the encoding may be decentralized by dividingprocessing tasks between the plurality of terminals that captured thevideos and, if necessary, other terminals that did not capture thevideos, and the server, on a per-unit basis. The units may be, forexample, groups of pictures (GOP), pictures, or tiles resulting fromdividing a picture. This makes it possible to reduce load times andachieve streaming that is closer to real time.

Since the videos are of approximately the same scene, management and/orinstructions may be carried out by the server so that the videoscaptured by the terminals can be cross-referenced. Moreover, the servermay receive encoded data from the terminals, change the referencerelationship between items of data, or correct or replace picturesthemselves, and then perform the encoding. This makes it possible togenerate a stream with increased quality and efficiency for theindividual items of data.

Furthermore, the server may stream video data after performingtranscoding to convert the encoding format of the video data. Forexample, the server may convert the encoding format from MPEG to VP(e.g., VP9), may convert H.264 to H.265, etc.

In this way, encoding can be performed by a terminal or one or moreservers. Accordingly, although the device that performs the encoding isreferred to as a “server” or “terminal” in the following description,some or all of the processes performed by the server may be performed bythe terminal, and likewise some or all of the processes performed by theterminal may be performed by the server. This also applies to decodingprocesses.

[3D, Multi-Angle]

There has been an increase in usage of images or videos combined fromimages or videos of different scenes concurrently captured, or of thesame scene captured from different angles, by a plurality of terminalssuch as camera ex113 and/or smartphone ex115. Videos captured by theterminals may be combined based on, for example, the separately obtainedrelative positional relationship between the terminals, or regions in avideo having matching feature points.

In addition to the encoding of two-dimensional moving pictures, theserver may encode a still image based on scene analysis of a movingpicture, either automatically or at a point in time specified by theuser, and transmit the encoded still image to a reception terminal.Furthermore, when the server can obtain the relative positionalrelationship between the video capturing terminals, in addition totwo-dimensional moving pictures, the server can generatethree-dimensional geometry of a scene based on video of the same scenecaptured from different angles. The server may separately encodethree-dimensional data generated from, for example, a point cloud and,based on a result of recognizing or tracking a person or object usingthree-dimensional data, may select or reconstruct and generate a videoto be transmitted to a reception terminal, from videos captured by aplurality of terminals.

This allows the user to enjoy a scene by freely selecting videoscorresponding to the video capturing terminals, and allows the user toenjoy the content obtained by extracting a video at a selected viewpointfrom three-dimensional data reconstructed from a plurality of images orvideos. Furthermore, as with video, sound may be recorded fromrelatively different angles, and the server may multiplex audio from aspecific angle or space with the corresponding video, and transmit themultiplexed video and audio.

In recent years, content that is a composite of the real world and avirtual world, such as virtual reality (VR) and augmented reality (AR)content, has also become popular. In the case of VR images, the servermay create images from the viewpoints of both the left and right eyes,and perform encoding that tolerates reference between the two viewpointimages, such as multi-view coding (MVC), and, alternatively, may encodethe images as separate streams without referencing. When the images aredecoded as separate streams, the streams may be synchronized whenreproduced, so as to recreate a virtual three-dimensional space inaccordance with the viewpoint of the user.

In the case of AR images, the server may superimpose virtual objectinformation existing in a virtual space onto camera informationrepresenting a real-world space, based on a three-dimensional positionor movement from the perspective of the user. The decoder may obtain orstore virtual object information and three-dimensional data, generatetwo-dimensional images based on movement from the perspective of theuser, and then generate superimposed data by seamlessly connecting theimages. Alternatively, the decoder may transmit, to the server, motionfrom the perspective of the user in addition to a request for virtualobject information. The server may generate superimposed data based onthree-dimensional data stored in the server in accordance with thereceived motion, and encode and stream the generated superimposed datato the decoder. Note that superimposed data typically includes, inaddition to RGB values, an a value indicating transparency, and theserver sets the a value for sections other than the object generatedfrom three-dimensional data to, for example, 0, and may perform theencoding while those sections are transparent. Alternatively, the servermay set the background to a determined RGB value, such as a chroma key,and generate data in which areas other than the object are set as thebackground. The determined RGB value may be predetermined.

Decoding of similarly streamed data may be performed by the client(e.g., the terminals), on the server side, or divided therebetween. Inone example, one terminal may transmit a reception request to a server,the requested content may be received and decoded by another terminal,and a decoded signal may be transmitted to a device having a display. Itis possible to reproduce high image quality data by decentralizingprocessing and appropriately selecting content regardless of theprocessing ability of the communications terminal itself. In yet anotherexample, while a TV, for example, is receiving image data that is largein size, a region of a picture, such as a tile obtained by dividing thepicture, may be decoded and displayed on a personal terminal orterminals of a viewer or viewers of the TV. This makes it possible forthe viewers to share a big-picture view as well as for each viewer tocheck his or her assigned area, or inspect a region in further detail upclose.

In situations in which a plurality of wireless connections are possibleover near, mid, and far distances, indoors or outdoors, it may bepossible to seamlessly receive content using a streaming system standardsuch as MPEG-DASH. The user may switch between data in real time whilefreely selecting a decoder or display apparatus including the user'sterminal, displays arranged indoors or outdoors, etc. Moreover, using,for example, information on the position of the user, decoding can beperformed while switching which terminal handles decoding and whichterminal handles the displaying of content. This makes it possible tomap and display information, while the user is on the move in route to adestination, on the wall of a nearby building in which a device capableof displaying content is embedded, or on part of the ground. Moreover,it is also possible to switch the bit rate of the received data based onthe accessibility to the encoded data on a network, such as when encodeddata is cached on a server quickly accessible from the receptionterminal, or when encoded data is copied to an edge server in a contentdelivery service.

[Scalable Encoding]

The switching of content will be described with reference to a scalablestream, illustrated in FIG. 57, which is compression coded viaimplementation of the moving picture encoding method described in theabove embodiments. The server may have a configuration in which contentis switched while making use of the temporal and/or spatial scalabilityof a stream, which is achieved by division into and encoding of layers,as illustrated in FIG. 57. Note that there may be a plurality ofindividual streams that are of the same content but different quality.In other words, by determining which layer to decode based on internalfactors, such as the processing ability on the decoder side, andexternal factors, such as communication bandwidth, the decoder side canfreely switch between low resolution content and high resolution contentwhile decoding. For example, in a case in which the user wants tocontinue watching, for example at home on a device such as a TVconnected to the internet, a video that the user had been previouslywatching on smartphone ex115 while on the move, the device can simplydecode the same stream up to a different layer, which reduces the serverside load.

Furthermore, in addition to the configuration described above, in whichscalability is achieved as a result of the pictures being encoded perlayer, with the enhancement layer being above the base layer, theenhancement layer may include metadata based on, for example,statistical information on the image. The decoder side may generate highimage quality content by performing super-resolution imaging on apicture in the base layer based on the metadata. Super-resolutionimaging may improve the SN ratio while maintaining resolution and/orincreasing resolution. Metadata includes information for identifying alinear or a non-linear filter coefficient, as used in super-resolutionprocessing, or information identifying a parameter value in filterprocessing, machine learning, or a least squares method used insuper-resolution processing.

Alternatively, a configuration may be provided in which a picture isdivided into, for example, tiles in accordance with, for example, themeaning of an object in the image. On the decoder side, only a partialregion is decoded by selecting a tile to decode. Further, by storing anattribute of the object (person, car, ball, etc.) and a position of theobject in the video (coordinates in identical images) as metadata, thedecoder side can identify the position of a desired object based on themetadata and determine which tile or tiles include that object. Forexample, as illustrated in FIG. 58, metadata may be stored using a datastorage structure different from pixel data, such as an SEI(supplemental enhancement information) message in HEVC. This metadataindicates, for example, the position, size, or color of the main object.

Metadata may be stored in units of a plurality of pictures, such asstream, sequence, or random access units. The decoder side can obtain,for example, the time at which a specific person appears in the video,and by fitting the time information with picture unit information, canidentify a picture in which the object is present, and can determine theposition of the object in the picture.

[Web Page Optimization]

FIG. 59 illustrates an example of a display screen of a web page oncomputer ex111, for example. FIG. 60 illustrates an example of a displayscreen of a web page on smartphone ex115, for example. As illustrated inFIG. 59 and FIG. 60, a web page may include a plurality of image linksthat are links to image content, and the appearance of the web page maydiffer depending on the device used to view the web page. When aplurality of image links are viewable on the screen, until the userexplicitly selects an image link, or until the image link is in theapproximate center of the screen or the entire image link fits in thescreen, the display apparatus (decoder) may display, as the image links,still images included in the content or I pictures; may display videosuch as an animated gif using a plurality of still images or I pictures;or may receive only the base layer, and decode and display the video.

When an image link is selected by the user, the display apparatusperforms decoding while, for example, giving the highest priority to thebase layer. Note that if there is information in the HTML code of theweb page indicating that the content is scalable, the display apparatusmay decode up to the enhancement layer. Further, in order to guaranteereal-time reproduction, before a selection is made or when the bandwidthis severely limited, the display apparatus can reduce delay between thepoint in time at which the leading picture is decoded and the point intime at which the decoded picture is displayed (that is, the delaybetween the start of the decoding of the content to the displaying ofthe content) by decoding and displaying only forward reference pictures(I picture, P picture, forward reference B picture). Still further, thedisplay apparatus may purposely ignore the reference relationshipbetween pictures, and coarsely decode all B and P pictures as forwardreference pictures, and then perform normal decoding as the number ofpictures received over time increases.

[Autonomous Driving]

When transmitting and receiving still image or video data such as two-or three-dimensional map information for autonomous driving or assisteddriving of an automobile, the reception terminal may receive, inaddition to image data belonging to one or more layers, information on,for example, the weather or road construction as metadata, and associatethe metadata with the image data upon decoding. Note that metadata maybe assigned per layer and, alternatively, may simply be multiplexed withthe image data.

In such a case, since the automobile, drone, airplane, etc., containingthe reception terminal is mobile, the reception terminal may seamlesslyreceive and perform decoding while switching between base stations amongbase stations ex106 through ex110 by transmitting information indicatingthe position of the reception terminal. Moreover, in accordance with theselection made by the user, the situation of the user, and/or thebandwidth of the connection, the reception terminal may dynamicallyselect to what extent the metadata is received, or to what extent themap information, for example, is up dated.

In content providing system ex100, the client may receive, decode, andreproduce, in real time, encoded information transmitted by the user.

[Streaming of Individual Content]

In content providing system ex100, in addition to high image quality,long content distributed by a video distribution entity, unicast ormulticast streaming of low image quality, and short content from anindividual are also possible. Such content from individuals is likely tofurther increase in popularity. The server may first perform editingprocessing on the content before the encoding processing, in order torefine the individual content. This may be achieved using the followingconfiguration, for example.

In real time while capturing video or image content, or after thecontent has been captured and accumulated, the server performsrecognition processing based on the raw data or encoded data, such ascapture error processing, scene search processing, meaning analysis,and/or object detection processing. Then, based on the result of therecognition processing, the server—either when prompted orautomatically—edits the content, examples of which include: correctionsuch as focus and/or motion blur correction; removing low-priorityscenes such as scenes that are low in brightness compared to otherpictures, or out of focus; object edge adjustment; and color toneadjustment. The server encodes the edited data based on the result ofthe editing. It is known that excessively long videos tend to receivefewer views. Accordingly, in order to keep the content within a specificlength that scales with the length of the original video, the servermay, in addition to the low-priority scenes described above,automatically clip out scenes with low movement, based on an imageprocessing result. Alternatively, the server may generate and encode avideo digest based on a result of an analysis of the meaning of a scene.

There may be instances in which individual content may include contentthat infringes a copyright, moral right, portrait rights, etc. Suchinstance may lead to an unfavorable situation for the creator, such aswhen content is shared beyond the scope intended by the creator.Accordingly, before encoding, the server may, for example, edit imagesso as to blur faces of people in the periphery of the screen or blur theinside of a house, for example. Further, the server may be configured torecognize the faces of people other than a registered person in imagesto be encoded, and when such faces appear in an image, may apply amosaic filter, for example, to the face of the person. Alternatively, aspre- or post-processing for encoding, the user may specify, forcopyright reasons, a region of an image including a person or a regionof the background to be processed. The server may process the specifiedregion by, for example, replacing the region with a different image, orblurring the region. If the region includes a person, the person may betracked in the moving picture, and the person's head region may bereplaced with another image as the person moves.

Since there is a demand for real-time viewing of content produced byindividuals, which tends to be small in data size, the decoder may firstreceive the base layer as the highest priority, and perform decoding andreproduction, although this may differ depending on bandwidth. When thecontent is reproduced two or more times, such as when the decoderreceives the enhancement layer during decoding and reproduction of thebase layer, and loops the reproduction, the decoder may reproduce a highimage quality video including the enhancement layer. If the stream isencoded using such scalable encoding, the video may be low quality whenin an unselected state or at the start of the video, but it can offer anexperience in which the image quality of the stream progressivelyincreases in an intelligent manner. This is not limited to just scalableencoding; the same experience can be offered by configuring a singlestream from a low quality stream reproduced for the first time and asecond stream encoded using the first stream as a reference.

[Other Implementation and Application Examples]

The encoding and decoding may be performed by LSI (large scaleintegration circuitry) ex500 (see FIG. 56), which is typically includedin each terminal. LSI ex500 may be configured of a single chip or aplurality of chips. Software for encoding and decoding moving picturesmay be integrated into some type of a recording medium (such as aCD-ROM, a flexible disk, or a hard disk) that is readable by, forexample, computer ex111, and the encoding and decoding may be performedusing the software. Furthermore, when smartphone ex115 is equipped witha camera, the video data obtained by the camera may be transmitted. Inthis case, the video data may be coded by LSI ex500 included insmartphone ex115.

Note that LSI ex500 may be configured to download and activate anapplication. In such a case, the terminal first determines whether it iscompatible with the scheme used to encode the content, or whether it iscapable of executing a specific service. When the terminal is notcompatible with the encoding scheme of the content, or when the terminalis not capable of executing a specific service, the terminal may firstdownload a codec or application software and then obtain and reproducethe content.

Aside from the example of content providing system ex100 that usesinternet ex101, at least the moving picture encoder (image encoder) orthe moving picture decoder (image decoder) described in the aboveembodiments may be implemented in a digital broadcasting system. Thesame encoding processing and decoding processing may be applied totransmit and receive broadcast radio waves superimposed with multiplexedaudio and video data using, for example, a satellite, even though thisis geared toward multicast, whereas unicast is easier with contentproviding system ex100.

[Hardware Configuration]

FIG. 61 illustrates further details of smartphone ex115 shown in FIG.56. FIG. 62 illustrates a configuration example of smartphone ex115.Smartphone ex115 includes antenna ex450 for transmitting and receivingradio waves to and from base station ex110, camera ex465 capable ofcapturing video and still images, and display ex458 that displaysdecoded data, such as video captured by camera ex465 and video receivedby antenna ex450. Smartphone ex115 further includes user interface ex466such as a touch panel, audio output unit ex457 such as a speaker foroutputting speech or other audio, audio input unit ex456 such as amicrophone for audio input, memory ex467 capable of storing decoded datasuch as captured video or still images, recorded audio, received videoor still images, and mail, as well as decoded data, and slot ex464 whichis an interface for SIM ex468 for authorizing access to a network andvarious data. Note that external memory may be used instead of memoryex467.

Main controller ex460, which may comprehensively control display ex458and user interface ex466, power supply circuit ex461, user interfaceinput controller ex462, video signal processor ex455, camera interfaceex463, display controller ex459, modulator/demodulator ex452,multiplexer/demultiplexer ex453, audio signal processor ex454, slotex464, and memory ex467 are connected via bus ex470.

When the user turns on the power button of power supply circuit ex461,smartphone ex115 is powered on into an operable state, and eachcomponent is supplied with power from a battery pack.

Smartphone ex115 performs processing for, for example, calling and datatransmission, based on control performed by main controller ex460, whichincludes a CPU, ROM, and RAM. When making calls, an audio signalrecorded by audio input unit ex456 is converted into a digital audiosignal by audio signal processor ex454, to which spread spectrumprocessing is applied by modulator/demodulator ex452 and digital-analogconversion, and frequency conversion processing is applied bytransmitter/receiver ex451, and the resulting signal is transmitted viaantenna ex450. The received data is amplified, frequency converted, andanalog-digital converted, inverse spread spectrum processed bymodulator/demodulator ex452, converted into an analog audio signal byaudio signal processor ex454, and then output from audio output unitex457. In data transmission mode, text, still-image, or video data maybe transmitted under control of main controller ex460 via user interfaceinput controller ex462 based on operation of user interface ex466 of themain body, for example. Similar transmission and reception processing isperformed. In data transmission mode, when sending a video, still image,or video and audio, video signal processor ex455 compression encodes,via the moving picture encoding method described in the aboveembodiments, a video signal stored in memory ex467 or a video signalinput from camera ex465, and transmits the encoded video data tomultiplexer/demultiplexer ex453. Audio signal processor ex454 encodes anaudio signal recorded by audio input unit ex456 while camera ex465 iscapturing a video or still image, and transmits the encoded audio datato multiplexer/demultiplexer ex453. Multiplexer/demultiplexer ex453multiplexes the encoded video data and encoded audio data using adetermined scheme, modulates and converts the data usingmodulator/demodulator (modulator/demodulator circuit) ex452 andtransmitter/receiver ex451, and transmits the result via antenna ex450.The determined scheme may be predetermined.

When video appended in an email or a chat, or a video linked from a webpage, is received, for example, in order to decode the multiplexed datareceived via antenna ex450, multiplexer/demultiplexer ex453demultiplexes the multiplexed data to divide the multiplexed data into abitstream of video data and a bitstream of audio data, supplies theencoded video data to video signal processor ex455 via synchronous busex470, and supplies the encoded audio data to audio signal processorex454 via synchronous bus ex470. Video signal processor ex455 decodesthe video signal using a moving picture decoding method corresponding tothe moving picture encoding method described in the above embodiments,and video or a still image included in the linked moving picture file isdisplayed on display ex458 via display controller ex459. Audio signalprocessor ex454 decodes the audio signal and outputs audio from audiooutput unit ex457. Since real-time streaming is becoming increasinglypopular, there may be instances in which reproduction of the audio maybe socially inappropriate, depending on the user's environment.Accordingly, as an initial value, a configuration in which only videodata is reproduced, i.e., the audio signal is not reproduced, may bepreferable; audio may be synchronized and reproduced only when an input,such as when the user clicks video data, is received.

Although smartphone ex115 was used in the above example, otherimplementations are conceivable: a transceiver terminal including bothan encoder and a decoder; a transmitter terminal including only anencoder; and a receiver terminal including only a decoder. In thedescription of the digital broadcasting system, an example is given inwhich multiplexed data obtained as a result of video data beingmultiplexed with audio data is received or transmitted. The multiplexeddata, however, may be video data multiplexed with data other than audiodata, such as text data related to the video. Further, the video dataitself rather than multiplexed data may be received or transmitted.

Although main controller ex460 including a CPU is described ascontrolling the encoding or decoding processes, various terminals ofteninclude GPUs. Accordingly, a configuration is acceptable in which alarge area is processed at once by making use of the performance abilityof the GPU via memory shared by the CPU and GPU, or memory including anaddress that is managed so as to allow common usage by the CPU and GPU.This makes it possible to shorten encoding time, maintain the real-timenature of the stream, and reduce delay. In particular, processingrelating to motion estimation, deblocking filtering, sample adaptiveoffset (SAO), and transformation/quantization can be effectively carriedout by the GPU instead of the CPU in units of pictures, for example, allat once.

Although only some exemplary embodiments of the present disclosure havebeen described in detail above, those skilled in the art will readilyappreciate that many modifications are possible in the exemplaryembodiments without materially departing from the novel teachings andadvantages of the present disclosure. Accordingly, all suchmodifications are intended to be included within the scope of thepresent disclosure.

INDUSTRIAL APPLICABILITY

The present disclosure is applicable to, for example, televisionreceivers, digital video recorders, car navigation systems, mobilephones, digital cameras, digital video cameras, teleconferencingsystems, electronic mirrors, etc.

What is claimed is:
 1. An encoder comprising: memory; and a processorconnected to the memory and configured to: correct a base motion vectorusing a correction value in one direction selected from among fixeddirections; and encode a current partition using the base motion vectorcorrected, wherein the correction value is specified by a firstparameter and an index from among indexes, the first parameterindicating a table to be selected from among a plurality of tables eachincluding correction values, the indexes indicating respectivecorrection values included in the table indicated by the firstparameter, in each of the plurality of tables, a smaller correctionvalue among the correction values is assigned a smaller index among theindexes, and minimum correction values respectively included in each ofthe plurality of tables are different from each other.
 2. The encoderaccording to claim 1, wherein the processor determines the one directionby based on a second parameter which indicates the one direction.
 3. Adecoder comprising: memory; and a processor connected to the memory andconfigured to: correct a base motion vector using a correction value inone direction selected from among fixed directions; and encode a currentpartition using the base motion vector corrected, wherein the correctionvalue is specified by a first parameter and an index from among indexes,the first parameter indicating a table to be selected from among aplurality of tables each including correction values, the indexesindicating respective correction values included in the table indicatedby the first parameter, in each of the plurality of tables, a smallercorrection value among the correction values is assigned a smaller indexamong the indexes, and minimum correction values respectively includedin each of the plurality of tables are different from each other.
 4. Thedecoder according to claim 3, wherein the processor determines the onedirection by based on a second parameter which indicates the onedirection.
 5. A non-transitory computer readable medium storing abitstream for a decoder, the bitstream including: a current partition; afirst parameter indicating a table to be selected from among a pluralityof tables each including correction values, the correction value beingspecified by an index among indexes in the table indicated by the firstparameter; and a second parameter indicating one direction selected fromamong fixed directions, in the one direction a base motion vector beingcorrected by the decoder, the current partition being decoded with thebase motion vector corrected by the decoder, wherein in each of theplurality of tables, a smaller correction value among the correctionvalues is assigned a smaller index among the indexes, and minimumcorrection values respectively included in each of the plurality oftables are different from each other.
 6. The non-transitory computerreadable medium according to claim 5, wherein the bitstream furtherincludes a third parameter according to which the decoder specifies theindex.